GCD of 677, 904, 80, 972 Calculator

Given Input numbers are 677, 904, 80, 972

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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

Greatest Common Divisior

We found the divisors of 677, 904, 80, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 904, 80, 972 is 1.

Therefore, GCD of numbers 677, 904, 80, 972 is 1

Given Input Data is 677, 904, 80, 972

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

Prime Factorization of 677 is 677

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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

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(677, 904) = 612008

GCD(677, 904) = ( 677 x 904 ) / 612008

GCD(677, 904) = 612008 / 612008

GCD(677, 904) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 677, 904, 80, 972 is 1

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1. What is the GCD of 677, 904, 80, 972?

GCD of 677, 904, 80, 972 is 1

2. Where do I get the detailed procedure to find GCD of 677, 904, 80, 972?

You can find a detailed procedure to find GCD of 677, 904, 80, 972 on our page.

3. How to find GCD of 677, 904, 80, 972 on a calculator?

You can find the GCD of 677, 904, 80, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.