GCD of 122, 358, 989, 532 Calculator

Given Input numbers are 122, 358, 989, 532

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

Divisors of 122

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

1, 2, 61, 122

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 122, 358, 989, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 358, 989, 532 is 1.

Therefore, GCD of numbers 122, 358, 989, 532 is 1

Given Input Data is 122, 358, 989, 532

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 358 is 2 x 179

Prime Factorization of 989 is 23 x 43

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(122, 358) = 21838

GCD(122, 358) = ( 122 x 358 ) / 21838

GCD(122, 358) = 43676 / 21838

GCD(122, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 122, 358, 989, 532 is 1

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1. What is the GCD of 122, 358, 989, 532?

GCD of 122, 358, 989, 532 is 1

2. Where do I get the detailed procedure to find GCD of 122, 358, 989, 532?

You can find a detailed procedure to find GCD of 122, 358, 989, 532 on our page.

3. How to find GCD of 122, 358, 989, 532 on a calculator?

You can find the GCD of 122, 358, 989, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.