GCF of 200 and 107

What is the GCF of 200 and 107?

GCF of 200 and 107

is 1

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Greatest Common Factor

What is the Greatest Common Factor of 200 and 107? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 200 and 107 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 200.
    2, 2, 2, 5, 5
  2. Find the prime factors of the second number 107.
    107
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 200.
    1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
  2. Find the factors of the second number 107.
    1, 107
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
200 & 102 2 10200
200 & 103 1 20600
200 & 104 8 2600
200 & 105 5 4200
200 & 106 2 10600
200 & 107 1 21400
200 & 108 4 5400
200 & 109 1 21800
200 & 110 10 2200
200 & 111 1 22200
200 & 112 8 2800

GCF (Greatest Common Factor) of 200 and 107 is 1.

GCD (Greatest Common Divisor) of 200 and 107 is 1.

HCF (Highest Common Factor) of 200 and 107 is 1.
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