GCD of 132, 168, 31, 921 Calculator

Given Input numbers are 132, 168, 31, 921

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 132, 168, 31, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 168, 31, 921 is 1.

Therefore, GCD of numbers 132, 168, 31, 921 is 1

Given Input Data is 132, 168, 31, 921

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 31 is 31

Prime Factorization of 921 is 3 x 307

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(132, 168) = 1848

GCD(132, 168) = ( 132 x 168 ) / 1848

GCD(132, 168) = 22176 / 1848

GCD(132, 168) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 31

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

LCM(12, 31) = 372

GCD(12, 31) = ( 12 x 31 ) / 372

GCD(12, 31) = 372 / 372

GCD(12, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 132, 168, 31, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 701, 83, 747
• GCD of 666, 596, 70, 619
• GCD of 120, 859, 91, 219
• GCD of 145, 902, 37, 876
• GCD of 471, 229, 15, 673

1. What is the GCD of 132, 168, 31, 921?

GCD of 132, 168, 31, 921 is 1

2. Where do I get the detailed procedure to find GCD of 132, 168, 31, 921?

You can find a detailed procedure to find GCD of 132, 168, 31, 921 on our page.

3. How to find GCD of 132, 168, 31, 921 on a calculator?

You can find the GCD of 132, 168, 31, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.