GCD of 992, 171, 129, 635 Calculator

Given Input numbers are 992, 171, 129, 635

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 992, 171, 129, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 171, 129, 635 is 1.

Therefore, GCD of numbers 992, 171, 129, 635 is 1

Given Input Data is 992, 171, 129, 635

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 129 is 3 x 43

Prime Factorization of 635 is 5 x 127

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(992, 171) = 169632

GCD(992, 171) = ( 992 x 171 ) / 169632

GCD(992, 171) = 169632 / 169632

GCD(992, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 992, 171, 129, 635 is 1

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1. What is the GCD of 992, 171, 129, 635?

GCD of 992, 171, 129, 635 is 1

2. Where do I get the detailed procedure to find GCD of 992, 171, 129, 635?

You can find a detailed procedure to find GCD of 992, 171, 129, 635 on our page.

3. How to find GCD of 992, 171, 129, 635 on a calculator?

You can find the GCD of 992, 171, 129, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.