GCD of 142, 879, 96, 584 Calculator

Given Input numbers are 142, 879, 96, 584

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 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 142, 879, 96, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 879, 96, 584 is 1.

Therefore, GCD of numbers 142, 879, 96, 584 is 1

Given Input Data is 142, 879, 96, 584

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 879 is 3 x 293

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 584 is 2 x 2 x 2 x 73

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, 879) = 124818

GCD(142, 879) = ( 142 x 879 ) / 124818

GCD(142, 879) = 124818 / 124818

GCD(142, 879) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 142, 879, 96, 584 is 1

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1. What is the GCD of 142, 879, 96, 584?

GCD of 142, 879, 96, 584 is 1

2. Where do I get the detailed procedure to find GCD of 142, 879, 96, 584?

You can find a detailed procedure to find GCD of 142, 879, 96, 584 on our page.

3. How to find GCD of 142, 879, 96, 584 on a calculator?

You can find the GCD of 142, 879, 96, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.