GCD of 290, 654, 37, 979 Calculator

Given Input numbers are 290, 654, 37, 979

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 37

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

1, 37

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 290, 654, 37, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 654, 37, 979 is 1.

Therefore, GCD of numbers 290, 654, 37, 979 is 1

Given Input Data is 290, 654, 37, 979

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 37 is 37

Prime Factorization of 979 is 11 x 89

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(290, 654) = 94830

GCD(290, 654) = ( 290 x 654 ) / 94830

GCD(290, 654) = 189660 / 94830

GCD(290, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 290, 654, 37, 979 is 1

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1. What is the GCD of 290, 654, 37, 979?

GCD of 290, 654, 37, 979 is 1

2. Where do I get the detailed procedure to find GCD of 290, 654, 37, 979?

You can find a detailed procedure to find GCD of 290, 654, 37, 979 on our page.

3. How to find GCD of 290, 654, 37, 979 on a calculator?

You can find the GCD of 290, 654, 37, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.