GCD of 630, 524, 735, 121 Calculator

Given Input numbers are 630, 524, 735, 121

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

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 121

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

1, 11, 121

Greatest Common Divisior

We found the divisors of 630, 524, 735, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 524, 735, 121 is 1.

Therefore, GCD of numbers 630, 524, 735, 121 is 1

Given Input Data is 630, 524, 735, 121

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 524 is 2 x 2 x 131

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

Prime Factorization of 121 is 11 x 11

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(630, 524) = 165060

GCD(630, 524) = ( 630 x 524 ) / 165060

GCD(630, 524) = 330120 / 165060

GCD(630, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 630, 524, 735, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 406, 550, 393
• GCD of 356, 417, 569, 420
• GCD of 424, 122, 156, 247
• GCD of 932, 991, 788, 722
• GCD of 131, 523, 150, 103

1. What is the GCD of 630, 524, 735, 121?

GCD of 630, 524, 735, 121 is 1

2. Where do I get the detailed procedure to find GCD of 630, 524, 735, 121?

You can find a detailed procedure to find GCD of 630, 524, 735, 121 on our page.

3. How to find GCD of 630, 524, 735, 121 on a calculator?

You can find the GCD of 630, 524, 735, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.