GCD of 212, 735, 539, 108 Calculator

Given Input numbers are 212, 735, 539, 108

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

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

Greatest Common Divisior

We found the divisors of 212, 735, 539, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 735, 539, 108 is 1.

Therefore, GCD of numbers 212, 735, 539, 108 is 1

Given Input Data is 212, 735, 539, 108

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 539 is 7 x 7 x 11

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

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(212, 735) = 155820

GCD(212, 735) = ( 212 x 735 ) / 155820

GCD(212, 735) = 155820 / 155820

GCD(212, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 539

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

LCM(1, 539) = 539

GCD(1, 539) = ( 1 x 539 ) / 539

GCD(1, 539) = 539 / 539

GCD(1, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 212, 735, 539, 108 is 1

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1. What is the GCD of 212, 735, 539, 108?

GCD of 212, 735, 539, 108 is 1

2. Where do I get the detailed procedure to find GCD of 212, 735, 539, 108?

You can find a detailed procedure to find GCD of 212, 735, 539, 108 on our page.

3. How to find GCD of 212, 735, 539, 108 on a calculator?

You can find the GCD of 212, 735, 539, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.