What is GCF of 50 and 100?

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GCF of 50 and 100 is 50

How to find GCF of two numbers

Steps to find GCF of 50 and 100

Find all the numbers that would divide 50 and 100 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 50 and 100, and read off the answer!

Example: Find gcf of 50 and 100

Factors for 50: 1, 2, 5, 10, 25, 50
Factors for 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

Hence, GCf of 50 and 100 is 50

Definition of GCF

Greatest common factor commonly known as GCF of the two numbers is the highest possible number which completely divides given numbers, i.e. without leaving any remainder. It is represented as GCF (50, 100).

Properties of GCF

Given two numbers 50 and 100, such that GCF is 50 where 50 will always be less than 50 and 100.
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.

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 50 and 100 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, 5, 10, 25, 50 are exact divisors of 50 and 1, 2, 4, 5, 10, 20, 25, 50, 100 are exact divisors of 100.
1 is a factor of every number. Eg. 1 is a factor of 50 and also of 100.
Every number is a factor of zero (0), since 50 x 0 = 0 and 100 x 0 = 0.

Steps to find Factors of 50 and 100

Step 1. Find all the numbers that would divide 50 and 100 without leaving any remainder. Starting with the number 1 upto 25 (half of 50) and 1 upto 50 (half of 100). The number 1 and the number itself are always factors of the given number.

50 ÷ 1 : Remainder = 0

100 ÷ 1 : Remainder = 0

50 ÷ 2 : Remainder = 0

100 ÷ 2 : Remainder = 0

50 ÷ 5 : Remainder = 0

100 ÷ 4 : Remainder = 0

50 ÷ 10 : Remainder = 0

100 ÷ 5 : Remainder = 0

50 ÷ 25 : Remainder = 0

100 ÷ 10 : Remainder = 0

50 ÷ 50 : Remainder = 0

100 ÷ 20 : Remainder = 0

100 ÷ 25 : Remainder = 0

100 ÷ 50 : Remainder = 0

100 ÷ 100 : Remainder = 0

Hence, Factors of 50 are 1, 2, 5, 10, 25, and 50

And, Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100

Examples of GCF

Sammy baked 50 chocolate cookies and 100 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 50 and 100.
GCF of 50 and 100 is 50.

A class has 50 boys and 100 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 50 and 100. Hence, GCF of 50 and 100 is 50.

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

GCF and LCM of two numbers can be related as GCF(50, 100) = ( 50 * 100 ) / LCM(50, 100) = 50.

What is the GCF of 50 and 100?

GCF of 50 and 100 is 50.

Ram has 50 cans of Pepsi and 100 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 50 and 100. Hence GCF of 50 and 100 is 50. So the number of tables that can be arranged is 50.

Rubel is creating individual servings of starters for her birthday party. He has 50 pizzas and 100 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 50 and 100. Thus GCF of 50 and 100 is 50.

Ariel is making ready to eat meals to share with friends. She has 50 bottles of water and 100 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 50 and 100. So the GCF of 50 and 100 is 50.

Kamal is making identical balloon arrangements for a party. He has 50 maroon balloons, and 100 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 50 and 100. So the GCF of 50 and 100 is 50.

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 50 bus tickets and 100 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 50 and 100. Hence, GCF of 50 and 100 is 50.