GCD of 36, 858, 970, 156 Calculator

Given Input numbers are 36, 858, 970, 156

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 36, 858, 970, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 858, 970, 156 is 2.

Therefore, GCD of numbers 36, 858, 970, 156 is 2

Given Input Data is 36, 858, 970, 156

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 156 is 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(36, 858) = 5148

GCD(36, 858) = ( 36 x 858 ) / 5148

GCD(36, 858) = 30888 / 5148

GCD(36, 858) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 970

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

LCM(6, 970) = 2910

GCD(6, 970) = ( 6 x 970 ) / 2910

GCD(6, 970) = 5820 / 2910

GCD(6, 970) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 156

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

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

GCD(2, 156) = 312 / 156

GCD(2, 156) = 2

GCD of 36, 858, 970, 156 is 2

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• GCD of 67, 199, 761, 761
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1. What is the GCD of 36, 858, 970, 156?

GCD of 36, 858, 970, 156 is 2

2. Where do I get the detailed procedure to find GCD of 36, 858, 970, 156?

You can find a detailed procedure to find GCD of 36, 858, 970, 156 on our page.

3. How to find GCD of 36, 858, 970, 156 on a calculator?

You can find the GCD of 36, 858, 970, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.