GCD of 956, 897, 200, 112 Calculator

Given Input numbers are 956, 897, 200, 112

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 956, 897, 200, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 897, 200, 112 is 1.

Therefore, GCD of numbers 956, 897, 200, 112 is 1

Given Input Data is 956, 897, 200, 112

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(956, 897) = 857532

GCD(956, 897) = ( 956 x 897 ) / 857532

GCD(956, 897) = 857532 / 857532

GCD(956, 897) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 956, 897, 200, 112 is 1

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1. What is the GCD of 956, 897, 200, 112?

GCD of 956, 897, 200, 112 is 1

2. Where do I get the detailed procedure to find GCD of 956, 897, 200, 112?

You can find a detailed procedure to find GCD of 956, 897, 200, 112 on our page.

3. How to find GCD of 956, 897, 200, 112 on a calculator?

You can find the GCD of 956, 897, 200, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.