GCD of 564, 790, 977, 711 Calculator

Given Input numbers are 564, 790, 977, 711

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 977

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

1, 977

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 564, 790, 977, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 790, 977, 711 is 1.

Therefore, GCD of numbers 564, 790, 977, 711 is 1

Given Input Data is 564, 790, 977, 711

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 790 is 2 x 5 x 79

Prime Factorization of 977 is 977

Prime Factorization of 711 is 3 x 3 x 79

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, 790) = 222780

GCD(564, 790) = ( 564 x 790 ) / 222780

GCD(564, 790) = 445560 / 222780

GCD(564, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 977

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

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

GCD(2, 977) = 1954 / 1954

GCD(2, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

GCD of 564, 790, 977, 711 is 1

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1. What is the GCD of 564, 790, 977, 711?

GCD of 564, 790, 977, 711 is 1

2. Where do I get the detailed procedure to find GCD of 564, 790, 977, 711?

You can find a detailed procedure to find GCD of 564, 790, 977, 711 on our page.

3. How to find GCD of 564, 790, 977, 711 on a calculator?

You can find the GCD of 564, 790, 977, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.