GCD of 121, 129, 72, 654 Calculator

Given Input numbers are 121, 129, 72, 654

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

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 121, 129, 72, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 129, 72, 654 is 1.

Therefore, GCD of numbers 121, 129, 72, 654 is 1

Given Input Data is 121, 129, 72, 654

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 129 is 3 x 43

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 654 is 2 x 3 x 109

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(121, 129) = 15609

GCD(121, 129) = ( 121 x 129 ) / 15609

GCD(121, 129) = 15609 / 15609

GCD(121, 129) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 121, 129, 72, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 901, 47, 623
• GCD of 412, 119, 39, 579
• GCD of 703, 341, 58, 851
• GCD of 865, 525, 38, 829
• GCD of 573, 339, 19, 215

1. What is the GCD of 121, 129, 72, 654?

GCD of 121, 129, 72, 654 is 1

2. Where do I get the detailed procedure to find GCD of 121, 129, 72, 654?

You can find a detailed procedure to find GCD of 121, 129, 72, 654 on our page.

3. How to find GCD of 121, 129, 72, 654 on a calculator?

You can find the GCD of 121, 129, 72, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.