GCD of 57, 129, 710, 765 Calculator

Given Input numbers are 57, 129, 710, 765

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 57, 129, 710, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 129, 710, 765 is 1.

Therefore, GCD of numbers 57, 129, 710, 765 is 1

Given Input Data is 57, 129, 710, 765

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 129 is 3 x 43

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(57, 129) = 2451

GCD(57, 129) = ( 57 x 129 ) / 2451

GCD(57, 129) = 7353 / 2451

GCD(57, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 710

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

LCM(3, 710) = 2130

GCD(3, 710) = ( 3 x 710 ) / 2130

GCD(3, 710) = 2130 / 2130

GCD(3, 710) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 57, 129, 710, 765 is 1

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1. What is the GCD of 57, 129, 710, 765?

GCD of 57, 129, 710, 765 is 1

2. Where do I get the detailed procedure to find GCD of 57, 129, 710, 765?

You can find a detailed procedure to find GCD of 57, 129, 710, 765 on our page.

3. How to find GCD of 57, 129, 710, 765 on a calculator?

You can find the GCD of 57, 129, 710, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.