GCD of 557, 664, 371, 172 Calculator

Given Input numbers are 557, 664, 371, 172

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 557, 664, 371, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 664, 371, 172 is 1.

Therefore, GCD of numbers 557, 664, 371, 172 is 1

Given Input Data is 557, 664, 371, 172

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

Prime Factorization of 557 is 557

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 172 is 2 x 2 x 43

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(557, 664) = 369848

GCD(557, 664) = ( 557 x 664 ) / 369848

GCD(557, 664) = 369848 / 369848

GCD(557, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 557, 664, 371, 172 is 1

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1. What is the GCD of 557, 664, 371, 172?

GCD of 557, 664, 371, 172 is 1

2. Where do I get the detailed procedure to find GCD of 557, 664, 371, 172?

You can find a detailed procedure to find GCD of 557, 664, 371, 172 on our page.

3. How to find GCD of 557, 664, 371, 172 on a calculator?

You can find the GCD of 557, 664, 371, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.