GCD of 564, 680, 87, 772 Calculator

Given Input numbers are 564, 680, 87, 772

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 564, 680, 87, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 680, 87, 772 is 1.

Therefore, GCD of numbers 564, 680, 87, 772 is 1

Given Input Data is 564, 680, 87, 772

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 87 is 3 x 29

Prime Factorization of 772 is 2 x 2 x 193

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(564, 680) = 95880

GCD(564, 680) = ( 564 x 680 ) / 95880

GCD(564, 680) = 383520 / 95880

GCD(564, 680) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 87

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

LCM(4, 87) = 348

GCD(4, 87) = ( 4 x 87 ) / 348

GCD(4, 87) = 348 / 348

GCD(4, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 564, 680, 87, 772 is 1

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1. What is the GCD of 564, 680, 87, 772?

GCD of 564, 680, 87, 772 is 1

2. Where do I get the detailed procedure to find GCD of 564, 680, 87, 772?

You can find a detailed procedure to find GCD of 564, 680, 87, 772 on our page.

3. How to find GCD of 564, 680, 87, 772 on a calculator?

You can find the GCD of 564, 680, 87, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.