GCD of 980, 721, 182 Calculator

Given Input numbers are 980, 721, 182

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 980, 721, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 721, 182 is 7.

Therefore, GCD of numbers 980, 721, 182 is 7

Given Input Data is 980, 721, 182

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 721 is 7 x 103

Prime Factorization of 182 is 2 x 7 x 13

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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, 721) = 100940

GCD(980, 721) = ( 980 x 721 ) / 100940

GCD(980, 721) = 706580 / 100940

GCD(980, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 182

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

LCM(7, 182) = 182

GCD(7, 182) = ( 7 x 182 ) / 182

GCD(7, 182) = 1274 / 182

GCD(7, 182) = 7

GCD of 980, 721, 182 is 7

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1. What is the GCD of 980, 721, 182?

GCD of 980, 721, 182 is 7

2. Where do I get the detailed procedure to find GCD of 980, 721, 182?

You can find a detailed procedure to find GCD of 980, 721, 182 on our page.

3. How to find GCD of 980, 721, 182 on a calculator?

You can find the GCD of 980, 721, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.