What is GCF of 259 and 500?

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GCF of 259 and 500 is 1

How to find GCF of two numbers

Steps to find GCF of 259 and 500

Find all the numbers that would divide 259 and 500 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 259 and 500, and read off the answer!

Example: Find gcf of 259 and 500

Factors for 259: 1, 7, 37, 259
Factors for 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Hence, GCf of 259 and 500 is 1

How do you explain GCF in mathematics?

GCF or greatest common factor of two or more numbers is defined as largest possible number or integer which is the factor of all given number or in other words we can say that largest possible common number which completely divides the given numbers. GCF of two numbers can be represented as GCF (259, 500).

Properties of GCF

The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.
GCF of two consecutive numbers is always 1.
Given two numbers 259 and 500, such that GCF is 1 where 1 will always be less than 259 and 500.
Product of two numbers is always equal to the product of their GCF and LCM.

How can we define factors?

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

Properties of Factors

Every number is a factor of zero (0), since 259 x 0 = 0 and 500 x 0 = 0.
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, 7, 37, 259 are exact divisors of 259 and 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500 are exact divisors of 500.
Factors of 259 are 1, 7, 37, 259. Each factor divides 259 without leaving a remainder.
Simlarly, factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500. Each factor divides 500 without leaving a remainder.

Steps to find Factors of 259 and 500

Step 1. Find all the numbers that would divide 259 and 500 without leaving any remainder. Starting with the number 1 upto 129 (half of 259) and 1 upto 250 (half of 500). The number 1 and the number itself are always factors of the given number.

259 ÷ 1 : Remainder = 0

500 ÷ 1 : Remainder = 0

259 ÷ 7 : Remainder = 0

500 ÷ 2 : Remainder = 0

259 ÷ 37 : Remainder = 0

500 ÷ 4 : Remainder = 0

259 ÷ 259 : Remainder = 0

500 ÷ 5 : Remainder = 0

500 ÷ 10 : Remainder = 0

500 ÷ 20 : Remainder = 0

500 ÷ 25 : Remainder = 0

500 ÷ 50 : Remainder = 0

500 ÷ 100 : Remainder = 0

500 ÷ 125 : Remainder = 0

500 ÷ 250 : Remainder = 0

500 ÷ 500 : Remainder = 0

Hence, Factors of 259 are 1, 7, 37, and 259

And, Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500

Examples of GCF

Sammy baked 259 chocolate cookies and 500 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 259 and 500.
GCF of 259 and 500 is 1.

A class has 259 boys and 500 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 259 and 500. Hence, GCF of 259 and 500 is 1.

What is the difference between GCF and LCM?

Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.

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

GCF and LCM of two numbers can be related as GCF(259, 500) = ( 259 * 500 ) / LCM(259, 500) = 1.

What is the GCF of 259 and 500?

GCF of 259 and 500 is 1.

Ariel is making ready to eat meals to share with friends. She has 259 bottles of water and 500 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 259 and 500. So the GCF of 259 and 500 is 1.

Mary has 259 blue buttons and 500 white buttons. She wants to place them in identical groups without any buttons left, in the greatest way possible. Can you help Mary arranging them in groups?

Greatest possible way in which Mary can arrange them in groups would be GCF of 259 and 500. Hence, the GCF of 259 and 500 or the greatest arrangement is 1.

Kamal is making identical balloon arrangements for a party. He has 259 maroon balloons, and 500 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 259 and 500. So the GCF of 259 and 500 is 1.

Kunal is making baskets full of nuts and dried fruits. He has 259 bags of nuts and 500 bags of dried fruits. He wants each basket to be identical, containing the same combination of bags of nuts and bags of driesn fruits, with no left overs. What is the greatest number of baskets that Kunal can make?

the greatest number of baskets that Kunal can make would be equal to GCF of 259 and 500. So the GCF of 259 and 500 is 1.