GCD of 200, 977, 965, 456 Calculator

Given Input numbers are 200, 977, 965, 456

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

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 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 200, 977, 965, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 977, 965, 456 is 1.

Therefore, GCD of numbers 200, 977, 965, 456 is 1

Given Input Data is 200, 977, 965, 456

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

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

Prime Factorization of 977 is 977

Prime Factorization of 965 is 5 x 193

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(200, 977) = 195400

GCD(200, 977) = ( 200 x 977 ) / 195400

GCD(200, 977) = 195400 / 195400

GCD(200, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 200, 977, 965, 456 is 1

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1. What is the GCD of 200, 977, 965, 456?

GCD of 200, 977, 965, 456 is 1

2. Where do I get the detailed procedure to find GCD of 200, 977, 965, 456?

You can find a detailed procedure to find GCD of 200, 977, 965, 456 on our page.

3. How to find GCD of 200, 977, 965, 456 on a calculator?

You can find the GCD of 200, 977, 965, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.