GCD of 37, 978, 992, 557 Calculator

Given Input numbers are 37, 978, 992, 557

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 557

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

1, 557

Greatest Common Divisior

We found the divisors of 37, 978, 992, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 978, 992, 557 is 1.

Therefore, GCD of numbers 37, 978, 992, 557 is 1

Given Input Data is 37, 978, 992, 557

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

Prime Factorization of 37 is 37

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 557 is 557

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(37, 978) = 36186

GCD(37, 978) = ( 37 x 978 ) / 36186

GCD(37, 978) = 36186 / 36186

GCD(37, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 37, 978, 992, 557 is 1

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1. What is the GCD of 37, 978, 992, 557?

GCD of 37, 978, 992, 557 is 1

2. Where do I get the detailed procedure to find GCD of 37, 978, 992, 557?

You can find a detailed procedure to find GCD of 37, 978, 992, 557 on our page.

3. How to find GCD of 37, 978, 992, 557 on a calculator?

You can find the GCD of 37, 978, 992, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.