GCD of 645, 121, 76, 253 Calculator

Given Input numbers are 645, 121, 76, 253

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 121

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

1, 11, 121

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 645, 121, 76, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 121, 76, 253 is 1.

Therefore, GCD of numbers 645, 121, 76, 253 is 1

Given Input Data is 645, 121, 76, 253

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 121 is 11 x 11

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 253 is 11 x 23

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(645, 121) = 78045

GCD(645, 121) = ( 645 x 121 ) / 78045

GCD(645, 121) = 78045 / 78045

GCD(645, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 645, 121, 76, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 534, 37, 720
• GCD of 526, 379, 70, 444
• GCD of 531, 747, 10, 628
• GCD of 567, 964, 36, 252
• GCD of 148, 807, 42, 206

1. What is the GCD of 645, 121, 76, 253?

GCD of 645, 121, 76, 253 is 1

2. Where do I get the detailed procedure to find GCD of 645, 121, 76, 253?

You can find a detailed procedure to find GCD of 645, 121, 76, 253 on our page.

3. How to find GCD of 645, 121, 76, 253 on a calculator?

You can find the GCD of 645, 121, 76, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.