GCD of 765, 524, 844, 959 Calculator

Given Input numbers are 765, 524, 844, 959

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

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 765, 524, 844, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 524, 844, 959 is 1.

Therefore, GCD of numbers 765, 524, 844, 959 is 1

Given Input Data is 765, 524, 844, 959

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

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 959 is 7 x 137

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(765, 524) = 400860

GCD(765, 524) = ( 765 x 524 ) / 400860

GCD(765, 524) = 400860 / 400860

GCD(765, 524) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 765, 524, 844, 959 is 1

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1. What is the GCD of 765, 524, 844, 959?

GCD of 765, 524, 844, 959 is 1

2. Where do I get the detailed procedure to find GCD of 765, 524, 844, 959?

You can find a detailed procedure to find GCD of 765, 524, 844, 959 on our page.

3. How to find GCD of 765, 524, 844, 959 on a calculator?

You can find the GCD of 765, 524, 844, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.