GCD of 858, 390, 156, 537 Calculator

Given Input numbers are 858, 390, 156, 537

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

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 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 858, 390, 156, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 390, 156, 537 is 3.

Therefore, GCD of numbers 858, 390, 156, 537 is 3

Given Input Data is 858, 390, 156, 537

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

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

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

Prime Factorization of 537 is 3 x 179

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(858, 390) = 4290

GCD(858, 390) = ( 858 x 390 ) / 4290

GCD(858, 390) = 334620 / 4290

GCD(858, 390) = 78

Step2:

Here we consider the GCD from the above i.e. 78 as first number and the next as 156

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

LCM(78, 156) = 156

GCD(78, 156) = ( 78 x 156 ) / 156

GCD(78, 156) = 12168 / 156

GCD(78, 156) = 78

Step3:

Here we consider the GCD from the above i.e. 78 as first number and the next as 537

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

LCM(78, 537) = 13962

GCD(78, 537) = ( 78 x 537 ) / 13962

GCD(78, 537) = 41886 / 13962

GCD(78, 537) = 3

GCD of 858, 390, 156, 537 is 3

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1. What is the GCD of 858, 390, 156, 537?

GCD of 858, 390, 156, 537 is 3

2. Where do I get the detailed procedure to find GCD of 858, 390, 156, 537?

You can find a detailed procedure to find GCD of 858, 390, 156, 537 on our page.

3. How to find GCD of 858, 390, 156, 537 on a calculator?

You can find the GCD of 858, 390, 156, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.