What is GCF of 157 and 200?

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GCF of 157 and 200 is 1

How to find GCF of two numbers

Steps to find GCF of 157 and 200

Find all the numbers that would divide 157 and 200 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 157 and 200, and read off the answer!

Example: Find gcf of 157 and 200

Factors for 157: 1, 157
Factors for 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Hence, GCf of 157 and 200 is 1

How do we define GCF?

In mathematics we use GCF or greatest common method to find out the greatest possible positive integer which can completely divide the given numbers. It is written as GCF (157, 200).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 157 and 200 is 1, where 1 is less than both the numbers.
If the given numbers are consecutive than GCF is always 1.
Product of two numbers is always equal to the product of their GCF and LCM.
The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

Every factor of a number is an exact divisor of that number, example 1, 157 are exact divisors of 157 and 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 are exact divisors of 200.
Every number other than 1 has at least two factors, namely the number itself and 1.
Each number is a factor of itself. Eg. 157 and 200 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 157 and also of 200.

Steps to find Factors of 157 and 200

Step 1. Find all the numbers that would divide 157 and 200 without leaving any remainder. Starting with the number 1 upto 78 (half of 157) and 1 upto 100 (half of 200). The number 1 and the number itself are always factors of the given number.

157 ÷ 1 : Remainder = 0

200 ÷ 1 : Remainder = 0

157 ÷ 157 : Remainder = 0

200 ÷ 2 : Remainder = 0

200 ÷ 4 : Remainder = 0

200 ÷ 5 : Remainder = 0

200 ÷ 8 : Remainder = 0

200 ÷ 10 : Remainder = 0

200 ÷ 20 : Remainder = 0

200 ÷ 25 : Remainder = 0

200 ÷ 40 : Remainder = 0

200 ÷ 50 : Remainder = 0

200 ÷ 100 : Remainder = 0

200 ÷ 200 : Remainder = 0

Hence, Factors of 157 are 1 and 157

And, Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200

Examples of GCF

Sammy baked 157 chocolate cookies and 200 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 157 and 200.
GCF of 157 and 200 is 1.

A class has 157 boys and 200 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 157 and 200. Hence, GCF of 157 and 200 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(157, 200) = ( 157 * 200 ) / LCM(157, 200) = 1.

What is the GCF of 157 and 200?

GCF of 157 and 200 is 1.

Mary has 157 blue buttons and 200 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 157 and 200. Hence, the GCF of 157 and 200 or the greatest arrangement is 1.

Kamal is making identical balloon arrangements for a party. He has 157 maroon balloons, and 200 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 157 and 200. So the GCF of 157 and 200 is 1.

Kunal is making baskets full of nuts and dried fruits. He has 157 bags of nuts and 200 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 157 and 200. So the GCF of 157 and 200 is 1.

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 157 bus tickets and 200 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 157 and 200. Hence, GCF of 157 and 200 is 1.