GCD of 107, 798, 456, 859 Calculator

Given Input numbers are 107, 798, 456, 859

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 107, 798, 456, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 798, 456, 859 is 1.

Therefore, GCD of numbers 107, 798, 456, 859 is 1

Given Input Data is 107, 798, 456, 859

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

Prime Factorization of 107 is 107

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 859 is 859

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(107, 798) = 85386

GCD(107, 798) = ( 107 x 798 ) / 85386

GCD(107, 798) = 85386 / 85386

GCD(107, 798) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 107, 798, 456, 859 is 1

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1. What is the GCD of 107, 798, 456, 859?

GCD of 107, 798, 456, 859 is 1

2. Where do I get the detailed procedure to find GCD of 107, 798, 456, 859?

You can find a detailed procedure to find GCD of 107, 798, 456, 859 on our page.

3. How to find GCD of 107, 798, 456, 859 on a calculator?

You can find the GCD of 107, 798, 456, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.