GCD of 142, 839, 756, 491 Calculator

Given Input numbers are 142, 839, 756, 491

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 142, 839, 756, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 839, 756, 491 is 1.

Therefore, GCD of numbers 142, 839, 756, 491 is 1

Given Input Data is 142, 839, 756, 491

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 839 is 839

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 491 is 491

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(142, 839) = 119138

GCD(142, 839) = ( 142 x 839 ) / 119138

GCD(142, 839) = 119138 / 119138

GCD(142, 839) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 142, 839, 756, 491 is 1

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1. What is the GCD of 142, 839, 756, 491?

GCD of 142, 839, 756, 491 is 1

2. Where do I get the detailed procedure to find GCD of 142, 839, 756, 491?

You can find a detailed procedure to find GCD of 142, 839, 756, 491 on our page.

3. How to find GCD of 142, 839, 756, 491 on a calculator?

You can find the GCD of 142, 839, 756, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.