GCD of 980, 461, 37, 752 Calculator

Given Input numbers are 980, 461, 37, 752

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

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 37

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

1, 37

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 980, 461, 37, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 461, 37, 752 is 1.

Therefore, GCD of numbers 980, 461, 37, 752 is 1

Given Input Data is 980, 461, 37, 752

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

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

Prime Factorization of 461 is 461

Prime Factorization of 37 is 37

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(980, 461) = 451780

GCD(980, 461) = ( 980 x 461 ) / 451780

GCD(980, 461) = 451780 / 451780

GCD(980, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 980, 461, 37, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 186, 50, 701
• GCD of 216, 383, 83, 205
• GCD of 818, 990, 70, 853
• GCD of 978, 721, 91, 810
• GCD of 490, 516, 50, 103

1. What is the GCD of 980, 461, 37, 752?

GCD of 980, 461, 37, 752 is 1

2. Where do I get the detailed procedure to find GCD of 980, 461, 37, 752?

You can find a detailed procedure to find GCD of 980, 461, 37, 752 on our page.

3. How to find GCD of 980, 461, 37, 752 on a calculator?

You can find the GCD of 980, 461, 37, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.