GCD of 121, 504, 51, 629 Calculator

Given Input numbers are 121, 504, 51, 629

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 121, 504, 51, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 504, 51, 629 is 1.

Therefore, GCD of numbers 121, 504, 51, 629 is 1

Given Input Data is 121, 504, 51, 629

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 51 is 3 x 17

Prime Factorization of 629 is 17 x 37

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, 504) = 60984

GCD(121, 504) = ( 121 x 504 ) / 60984

GCD(121, 504) = 60984 / 60984

GCD(121, 504) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 121, 504, 51, 629 is 1

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1. What is the GCD of 121, 504, 51, 629?

GCD of 121, 504, 51, 629 is 1

2. Where do I get the detailed procedure to find GCD of 121, 504, 51, 629?

You can find a detailed procedure to find GCD of 121, 504, 51, 629 on our page.

3. How to find GCD of 121, 504, 51, 629 on a calculator?

You can find the GCD of 121, 504, 51, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.