GCD of 37, 987, 420, 980 Calculator

Given Input numbers are 37, 987, 420, 980

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 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 37, 987, 420, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 987, 420, 980 is 1.

Therefore, GCD of numbers 37, 987, 420, 980 is 1

Given Input Data is 37, 987, 420, 980

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

Prime Factorization of 37 is 37

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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, 987) = 36519

GCD(37, 987) = ( 37 x 987 ) / 36519

GCD(37, 987) = 36519 / 36519

GCD(37, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 37, 987, 420, 980 is 1

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1. What is the GCD of 37, 987, 420, 980?

GCD of 37, 987, 420, 980 is 1

2. Where do I get the detailed procedure to find GCD of 37, 987, 420, 980?

You can find a detailed procedure to find GCD of 37, 987, 420, 980 on our page.

3. How to find GCD of 37, 987, 420, 980 on a calculator?

You can find the GCD of 37, 987, 420, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.