GCD of 108, 332, 891, 840 Calculator

Given Input numbers are 108, 332, 891, 840

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 108, 332, 891, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 332, 891, 840 is 1.

Therefore, GCD of numbers 108, 332, 891, 840 is 1

Given Input Data is 108, 332, 891, 840

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 332 is 2 x 2 x 83

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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, 332) = 8964

GCD(108, 332) = ( 108 x 332 ) / 8964

GCD(108, 332) = 35856 / 8964

GCD(108, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 891

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

LCM(4, 891) = 3564

GCD(4, 891) = ( 4 x 891 ) / 3564

GCD(4, 891) = 3564 / 3564

GCD(4, 891) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 108, 332, 891, 840 is 1

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1. What is the GCD of 108, 332, 891, 840?

GCD of 108, 332, 891, 840 is 1

2. Where do I get the detailed procedure to find GCD of 108, 332, 891, 840?

You can find a detailed procedure to find GCD of 108, 332, 891, 840 on our page.

3. How to find GCD of 108, 332, 891, 840 on a calculator?

You can find the GCD of 108, 332, 891, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.