GCD of 975, 487, 664, 738 Calculator

Given Input numbers are 975, 487, 664, 738

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 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 975, 487, 664, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 487, 664, 738 is 1.

Therefore, GCD of numbers 975, 487, 664, 738 is 1

Given Input Data is 975, 487, 664, 738

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 487 is 487

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 487) = 474825

GCD(975, 487) = ( 975 x 487 ) / 474825

GCD(975, 487) = 474825 / 474825

GCD(975, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 975, 487, 664, 738 is 1

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1. What is the GCD of 975, 487, 664, 738?

GCD of 975, 487, 664, 738 is 1

2. Where do I get the detailed procedure to find GCD of 975, 487, 664, 738?

You can find a detailed procedure to find GCD of 975, 487, 664, 738 on our page.

3. How to find GCD of 975, 487, 664, 738 on a calculator?

You can find the GCD of 975, 487, 664, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.