GCD of 718, 364, 565, 983 Calculator

Given Input numbers are 718, 364, 565, 983

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 983

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

1, 983

Greatest Common Divisior

We found the divisors of 718, 364, 565, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 364, 565, 983 is 1.

Therefore, GCD of numbers 718, 364, 565, 983 is 1

Given Input Data is 718, 364, 565, 983

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 565 is 5 x 113

Prime Factorization of 983 is 983

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(718, 364) = 130676

GCD(718, 364) = ( 718 x 364 ) / 130676

GCD(718, 364) = 261352 / 130676

GCD(718, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 565

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

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

GCD(2, 565) = 1130 / 1130

GCD(2, 565) = 1

Step3:

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

GCD of 718, 364, 565, 983 is 1

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1. What is the GCD of 718, 364, 565, 983?

GCD of 718, 364, 565, 983 is 1

2. Where do I get the detailed procedure to find GCD of 718, 364, 565, 983?

You can find a detailed procedure to find GCD of 718, 364, 565, 983 on our page.

3. How to find GCD of 718, 364, 565, 983 on a calculator?

You can find the GCD of 718, 364, 565, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.