GCD of 77, 972, 807, 656 Calculator

Given Input numbers are 77, 972, 807, 656

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 77, 972, 807, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 972, 807, 656 is 1.

Therefore, GCD of numbers 77, 972, 807, 656 is 1

Given Input Data is 77, 972, 807, 656

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 807 is 3 x 269

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(77, 972) = 74844

GCD(77, 972) = ( 77 x 972 ) / 74844

GCD(77, 972) = 74844 / 74844

GCD(77, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 77, 972, 807, 656 is 1

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1. What is the GCD of 77, 972, 807, 656?

GCD of 77, 972, 807, 656 is 1

2. Where do I get the detailed procedure to find GCD of 77, 972, 807, 656?

You can find a detailed procedure to find GCD of 77, 972, 807, 656 on our page.

3. How to find GCD of 77, 972, 807, 656 on a calculator?

You can find the GCD of 77, 972, 807, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.