What is GCF of 101 and 200?

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GCF of 101 and 200 is 1

How to find GCF of two numbers

Steps to find GCF of 101 and 200

Find all the numbers that would divide 101 and 200 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 101 and 200, and read off the answer!

Example: Find gcf of 101 and 200

Factors for 101: 1, 101
Factors for 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Hence, GCf of 101 and 200 is 1

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 (101, 200).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 101 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 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

Every factor of a number is an exact divisor of that number, example 1, 101 are exact divisors of 101 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. 101 and 200 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 101 and also of 200.

Steps to find Factors of 101 and 200

Step 1. Find all the numbers that would divide 101 and 200 without leaving any remainder. Starting with the number 1 upto 50 (half of 101) and 1 upto 100 (half of 200). The number 1 and the number itself are always factors of the given number.

101 ÷ 1 : Remainder = 0

200 ÷ 1 : Remainder = 0

101 ÷ 101 : 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 101 are 1 and 101

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

Examples of GCF

A class has 101 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 101 and 200. Hence, GCF of 101 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(101, 200) = ( 101 * 200 ) / LCM(101, 200) = 1.

What is the GCF of 101 and 200?

GCF of 101 and 200 is 1.

Ram has 101 cans of Pepsi and 200 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 101 and 200. Hence GCF of 101 and 200 is 1. So the number of tables that can be arranged is 1.

Rubel is creating individual servings of starters for her birthday party. He has 101 pizzas and 200 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 101 and 200. Thus GCF of 101 and 200 is 1.

Ariel is making ready to eat meals to share with friends. She has 101 bottles of water and 200 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 101 and 200. So the GCF of 101 and 200 is 1.

Mary has 101 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 101 and 200. Hence, the GCF of 101 and 200 or the greatest arrangement is 1.

Kunal is making baskets full of nuts and dried fruits. He has 101 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 101 and 200. So the GCF of 101 and 200 is 1.