GCD of 992, 827, 880, 142 Calculator

Given Input numbers are 992, 827, 880, 142

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 992, 827, 880, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 827, 880, 142 is 1.

Therefore, GCD of numbers 992, 827, 880, 142 is 1

Given Input Data is 992, 827, 880, 142

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 827 is 827

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 142 is 2 x 71

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, 827) = 820384

GCD(992, 827) = ( 992 x 827 ) / 820384

GCD(992, 827) = 820384 / 820384

GCD(992, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 992, 827, 880, 142 is 1

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1. What is the GCD of 992, 827, 880, 142?

GCD of 992, 827, 880, 142 is 1

2. Where do I get the detailed procedure to find GCD of 992, 827, 880, 142?

You can find a detailed procedure to find GCD of 992, 827, 880, 142 on our page.

3. How to find GCD of 992, 827, 880, 142 on a calculator?

You can find the GCD of 992, 827, 880, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.