What is GCF of 266 and 247?

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GCF of 266 and 247 is 19

How to find GCF of two numbers

Steps to find GCF of 266 and 247

Find all the numbers that would divide 266 and 247 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 266 and 247, and read off the answer!

Example: Find gcf of 266 and 247

Factors for 266: 1, 2, 7, 14, 19, 38, 133, 266
Factors for 247: 1, 13, 19, 247

Hence, GCf of 266 and 247 is 19

What is GCF of two numbers?

In mathematics GCF or also known as greatest common factor of two or more number is that one largest number which is a factor of those given numbers. It is represented as GCF (266, 247).

Properties of GCF

Given two numbers 266 and 247, such that GCF is 19 where 19 will always be less than 266 and 247.
GCF of two numbers is always equal to 1 in case given numbers are consecutive.
The product of GCF and LCM of two given numbers is equal to the product of two numbers.
The GCF of two given numbers is either 1 or the number itself if one of them is a prime number.

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 266 and 247 are factors of themselves respectively.
Every number other than 1 has at least two factors, namely the number itself and 1.
Every factor of a number is an exact divisor of that number, example 1, 2, 7, 14, 19, 38, 133, 266 are exact divisors of 266 and 1, 13, 19, 247 are exact divisors of 247.
1 is a factor of every number. Eg. 1 is a factor of 266 and also of 247.
Every number is a factor of zero (0), since 266 x 0 = 0 and 247 x 0 = 0.

Steps to find Factors of 266 and 247

Step 1. Find all the numbers that would divide 266 and 247 without leaving any remainder. Starting with the number 1 upto 133 (half of 266) and 1 upto 123 (half of 247). The number 1 and the number itself are always factors of the given number.

266 ÷ 1 : Remainder = 0

247 ÷ 1 : Remainder = 0

266 ÷ 2 : Remainder = 0

247 ÷ 13 : Remainder = 0

266 ÷ 7 : Remainder = 0

247 ÷ 19 : Remainder = 0

266 ÷ 14 : Remainder = 0

247 ÷ 247 : Remainder = 0

266 ÷ 19 : Remainder = 0

266 ÷ 38 : Remainder = 0

266 ÷ 133 : Remainder = 0

266 ÷ 266 : Remainder = 0

Hence, Factors of 266 are 1, 2, 7, 14, 19, 38, 133, and 266

And, Factors of 247 are 1, 13, 19, and 247

Examples of GCF

Sammy baked 266 chocolate cookies and 247 fruit and nut cookies to package in plastic containers for her friends at college. She wants to divide the cookies into identical boxes so that each box has the same number of each kind of cookies. She wishes that each box should have greatest number of cookies possible, how many plastic boxes does she need?

Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 266 and 247.
GCF of 266 and 247 is 19.

A class has 266 boys and 247 girls. A choir teacher wants to form a choir team from this class such that the students are standing in equal rows also girls or boys will be in each row. Teacher wants to know the greatest number of students that could be in each row, can you help him?

To find the greatest number of students that could be in each row, we need to find the GCF of 266 and 247. Hence, GCF of 266 and 247 is 19.

What is the relation between LCM and GCF (Greatest Common Factor)?

GCF and LCM of two numbers can be related as GCF(266, 247) = ( 266 * 247 ) / LCM(266, 247) = 19.

What is the GCF of 266 and 247?

GCF of 266 and 247 is 19.

Ram has 266 cans of Pepsi and 247 cans of Coca Cola. He wants to create identical refreshment tables that will be organized in his house warming party. He also doesn't want to have any can left over. What is the greatest number of tables that Ram can arrange?

To find the greatest number of tables that Ram can stock we need to find the GCF of 266 and 247. Hence GCF of 266 and 247 is 19. So the number of tables that can be arranged is 19.

Rubel is creating individual servings of starters for her birthday party. He has 266 pizzas and 247 hamburgers. He wants each serving to be identical, with no left overs. Can you help Rubel in arranging the same in greatest possible way?

The greatest number of servings Rubel can create would be equal to the GCF of 266 and 247. Thus GCF of 266 and 247 is 19.

Ariel is making ready to eat meals to share with friends. She has 266 bottles of water and 247 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?

The greatest number of boxes Ariel can make would be equal to GCF of 266 and 247. So the GCF of 266 and 247 is 19.

Kamal is making identical balloon arrangements for a party. He has 266 maroon balloons, and 247 orange balloons. He wants each arrangement tohave the same number of each color. What is the greatest number of arrangements that he can make if every balloon is used?

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 266 and 247. So the GCF of 266 and 247 is 19.

To energize public transportation, Abir needs to give a few companions envelopes with transport tickets, and metro tickets in them. On the off chance that he has 266 bus tickets and 247 metro tickets to be parted similarly among the envelopes, and he need no tickets left. What is the greatest number of envelopes Abir can make?

To make the greatest number of envelopes Abir needs to find out the GCF of 266 and 247. Hence, GCF of 266 and 247 is 19.