GCD of 162, 253, 498, 980 Calculator

Given Input numbers are 162, 253, 498, 980

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

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 162, 253, 498, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 253, 498, 980 is 1.

Therefore, GCD of numbers 162, 253, 498, 980 is 1

Given Input Data is 162, 253, 498, 980

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 253 is 11 x 23

Prime Factorization of 498 is 2 x 3 x 83

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(162, 253) = 40986

GCD(162, 253) = ( 162 x 253 ) / 40986

GCD(162, 253) = 40986 / 40986

GCD(162, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 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 162, 253, 498, 980 is 1

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1. What is the GCD of 162, 253, 498, 980?

GCD of 162, 253, 498, 980 is 1

2. Where do I get the detailed procedure to find GCD of 162, 253, 498, 980?

You can find a detailed procedure to find GCD of 162, 253, 498, 980 on our page.

3. How to find GCD of 162, 253, 498, 980 on a calculator?

You can find the GCD of 162, 253, 498, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.