GCD of 975, 659, 983, 355 Calculator

Given Input numbers are 975, 659, 983, 355

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 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 975, 659, 983, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 659, 983, 355 is 1.

Therefore, GCD of numbers 975, 659, 983, 355 is 1

Given Input Data is 975, 659, 983, 355

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 659 is 659

Prime Factorization of 983 is 983

Prime Factorization of 355 is 5 x 71

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, 659) = 642525

GCD(975, 659) = ( 975 x 659 ) / 642525

GCD(975, 659) = 642525 / 642525

GCD(975, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 975, 659, 983, 355 is 1

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1. What is the GCD of 975, 659, 983, 355?

GCD of 975, 659, 983, 355 is 1

2. Where do I get the detailed procedure to find GCD of 975, 659, 983, 355?

You can find a detailed procedure to find GCD of 975, 659, 983, 355 on our page.

3. How to find GCD of 975, 659, 983, 355 on a calculator?

You can find the GCD of 975, 659, 983, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.