GCD of 836, 857, 828, 138 Calculator

Given Input numbers are 836, 857, 828, 138

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

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 836, 857, 828, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 857, 828, 138 is 1.

Therefore, GCD of numbers 836, 857, 828, 138 is 1

Given Input Data is 836, 857, 828, 138

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

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 857 is 857

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 138 is 2 x 3 x 23

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(836, 857) = 716452

GCD(836, 857) = ( 836 x 857 ) / 716452

GCD(836, 857) = 716452 / 716452

GCD(836, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 836, 857, 828, 138 is 1

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1. What is the GCD of 836, 857, 828, 138?

GCD of 836, 857, 828, 138 is 1

2. Where do I get the detailed procedure to find GCD of 836, 857, 828, 138?

You can find a detailed procedure to find GCD of 836, 857, 828, 138 on our page.

3. How to find GCD of 836, 857, 828, 138 on a calculator?

You can find the GCD of 836, 857, 828, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.