GCD of 557, 747, 372, 354 Calculator

Given Input numbers are 557, 747, 372, 354

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 557, 747, 372, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 747, 372, 354 is 1.

Therefore, GCD of numbers 557, 747, 372, 354 is 1

Given Input Data is 557, 747, 372, 354

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

Prime Factorization of 557 is 557

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 354 is 2 x 3 x 59

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, 747) = 416079

GCD(557, 747) = ( 557 x 747 ) / 416079

GCD(557, 747) = 416079 / 416079

GCD(557, 747) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 557, 747, 372, 354 is 1

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1. What is the GCD of 557, 747, 372, 354?

GCD of 557, 747, 372, 354 is 1

2. Where do I get the detailed procedure to find GCD of 557, 747, 372, 354?

You can find a detailed procedure to find GCD of 557, 747, 372, 354 on our page.

3. How to find GCD of 557, 747, 372, 354 on a calculator?

You can find the GCD of 557, 747, 372, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.