GCD of 975, 618, 676, 676 Calculator

Given Input numbers are 975, 618, 676, 676

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 975, 618, 676, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 618, 676, 676 is 1.

Therefore, GCD of numbers 975, 618, 676, 676 is 1

Given Input Data is 975, 618, 676, 676

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(975, 618) = 200850

GCD(975, 618) = ( 975 x 618 ) / 200850

GCD(975, 618) = 602550 / 200850

GCD(975, 618) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 676

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

LCM(3, 676) = 2028

GCD(3, 676) = ( 3 x 676 ) / 2028

GCD(3, 676) = 2028 / 2028

GCD(3, 676) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 975, 618, 676, 676 is 1

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1. What is the GCD of 975, 618, 676, 676?

GCD of 975, 618, 676, 676 is 1

2. Where do I get the detailed procedure to find GCD of 975, 618, 676, 676?

You can find a detailed procedure to find GCD of 975, 618, 676, 676 on our page.

3. How to find GCD of 975, 618, 676, 676 on a calculator?

You can find the GCD of 975, 618, 676, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.