GCD of 108, 501, 70, 859 Calculator

Given Input numbers are 108, 501, 70, 859

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 108, 501, 70, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 501, 70, 859 is 1.

Therefore, GCD of numbers 108, 501, 70, 859 is 1

Given Input Data is 108, 501, 70, 859

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 501 is 3 x 167

Prime Factorization of 70 is 2 x 5 x 7

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(108, 501) = 18036

GCD(108, 501) = ( 108 x 501 ) / 18036

GCD(108, 501) = 54108 / 18036

GCD(108, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 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 108, 501, 70, 859 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 955, 92, 519
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• GCD of 829, 214, 40, 667

1. What is the GCD of 108, 501, 70, 859?

GCD of 108, 501, 70, 859 is 1

2. Where do I get the detailed procedure to find GCD of 108, 501, 70, 859?

You can find a detailed procedure to find GCD of 108, 501, 70, 859 on our page.

3. How to find GCD of 108, 501, 70, 859 on a calculator?

You can find the GCD of 108, 501, 70, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.