GCD of 992, 180, 642, 929 Calculator

Given Input numbers are 992, 180, 642, 929

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 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 992, 180, 642, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 180, 642, 929 is 1.

Therefore, GCD of numbers 992, 180, 642, 929 is 1

Given Input Data is 992, 180, 642, 929

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 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 929 is 929

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, 180) = 44640

GCD(992, 180) = ( 992 x 180 ) / 44640

GCD(992, 180) = 178560 / 44640

GCD(992, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 642

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

LCM(4, 642) = 1284

GCD(4, 642) = ( 4 x 642 ) / 1284

GCD(4, 642) = 2568 / 1284

GCD(4, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 929

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

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

GCD(2, 929) = 1858 / 1858

GCD(2, 929) = 1

GCD of 992, 180, 642, 929 is 1

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1. What is the GCD of 992, 180, 642, 929?

GCD of 992, 180, 642, 929 is 1

2. Where do I get the detailed procedure to find GCD of 992, 180, 642, 929?

You can find a detailed procedure to find GCD of 992, 180, 642, 929 on our page.

3. How to find GCD of 992, 180, 642, 929 on a calculator?

You can find the GCD of 992, 180, 642, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.