GCD of 975, 645, 57, 675 Calculator

Given Input numbers are 975, 645, 57, 675

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 57

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

1, 3, 19, 57

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 975, 645, 57, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 645, 57, 675 is 3.

Therefore, GCD of numbers 975, 645, 57, 675 is 3

Given Input Data is 975, 645, 57, 675

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 645 is 3 x 5 x 43

Prime Factorization of 57 is 3 x 19

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 645) = 41925

GCD(975, 645) = ( 975 x 645 ) / 41925

GCD(975, 645) = 628875 / 41925

GCD(975, 645) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 57

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

LCM(15, 57) = 285

GCD(15, 57) = ( 15 x 57 ) / 285

GCD(15, 57) = 855 / 285

GCD(15, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 675

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

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

GCD(3, 675) = 2025 / 675

GCD(3, 675) = 3

GCD of 975, 645, 57, 675 is 3

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1. What is the GCD of 975, 645, 57, 675?

GCD of 975, 645, 57, 675 is 3

2. Where do I get the detailed procedure to find GCD of 975, 645, 57, 675?

You can find a detailed procedure to find GCD of 975, 645, 57, 675 on our page.

3. How to find GCD of 975, 645, 57, 675 on a calculator?

You can find the GCD of 975, 645, 57, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.