GCD of 879, 782, 42, 707 Calculator

Given Input numbers are 879, 782, 42, 707

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

Divisors of 879

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

1, 3, 293, 879

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 879, 782, 42, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 782, 42, 707 is 1.

Therefore, GCD of numbers 879, 782, 42, 707 is 1

Given Input Data is 879, 782, 42, 707

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

Prime Factorization of 879 is 3 x 293

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 707 is 7 x 101

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(879, 782) = 687378

GCD(879, 782) = ( 879 x 782 ) / 687378

GCD(879, 782) = 687378 / 687378

GCD(879, 782) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 879, 782, 42, 707 is 1

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1. What is the GCD of 879, 782, 42, 707?

GCD of 879, 782, 42, 707 is 1

2. Where do I get the detailed procedure to find GCD of 879, 782, 42, 707?

You can find a detailed procedure to find GCD of 879, 782, 42, 707 on our page.

3. How to find GCD of 879, 782, 42, 707 on a calculator?

You can find the GCD of 879, 782, 42, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.