GCD of 169, 122, 578, 980 Calculator

Given Input numbers are 169, 122, 578, 980

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 169, 122, 578, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 122, 578, 980 is 1.

Therefore, GCD of numbers 169, 122, 578, 980 is 1

Given Input Data is 169, 122, 578, 980

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 122 is 2 x 61

Prime Factorization of 578 is 2 x 17 x 17

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(169, 122) = 20618

GCD(169, 122) = ( 169 x 122 ) / 20618

GCD(169, 122) = 20618 / 20618

GCD(169, 122) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 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 169, 122, 578, 980 is 1

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1. What is the GCD of 169, 122, 578, 980?

GCD of 169, 122, 578, 980 is 1

2. Where do I get the detailed procedure to find GCD of 169, 122, 578, 980?

You can find a detailed procedure to find GCD of 169, 122, 578, 980 on our page.

3. How to find GCD of 169, 122, 578, 980 on a calculator?

You can find the GCD of 169, 122, 578, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.