GCD of 372, 420, 253, 242 Calculator

Given Input numbers are 372, 420, 253, 242

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 253

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

1, 11, 23, 253

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 372, 420, 253, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 420, 253, 242 is 1.

Therefore, GCD of numbers 372, 420, 253, 242 is 1

Given Input Data is 372, 420, 253, 242

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 253 is 11 x 23

Prime Factorization of 242 is 2 x 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(372, 420) = 13020

GCD(372, 420) = ( 372 x 420 ) / 13020

GCD(372, 420) = 156240 / 13020

GCD(372, 420) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 253

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

LCM(12, 253) = 3036

GCD(12, 253) = ( 12 x 253 ) / 3036

GCD(12, 253) = 3036 / 3036

GCD(12, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 372, 420, 253, 242 is 1

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1. What is the GCD of 372, 420, 253, 242?

GCD of 372, 420, 253, 242 is 1

2. Where do I get the detailed procedure to find GCD of 372, 420, 253, 242?

You can find a detailed procedure to find GCD of 372, 420, 253, 242 on our page.

3. How to find GCD of 372, 420, 253, 242 on a calculator?

You can find the GCD of 372, 420, 253, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.