GCD of 364, 976, 527 Calculator

Given Input numbers are 364, 976, 527

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

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 364, 976, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 976, 527 is 1.

Therefore, GCD of numbers 364, 976, 527 is 1

Given Input Data is 364, 976, 527

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

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 527 is 17 x 31

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(364, 976) = 88816

GCD(364, 976) = ( 364 x 976 ) / 88816

GCD(364, 976) = 355264 / 88816

GCD(364, 976) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 527

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

LCM(4, 527) = 2108

GCD(4, 527) = ( 4 x 527 ) / 2108

GCD(4, 527) = 2108 / 2108

GCD(4, 527) = 1

GCD of 364, 976, 527 is 1

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1. What is the GCD of 364, 976, 527?

GCD of 364, 976, 527 is 1

2. Where do I get the detailed procedure to find GCD of 364, 976, 527?

You can find a detailed procedure to find GCD of 364, 976, 527 on our page.

3. How to find GCD of 364, 976, 527 on a calculator?

You can find the GCD of 364, 976, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.