GCD of 131, 295, 742, 252 Calculator

Given Input numbers are 131, 295, 742, 252

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 131, 295, 742, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 295, 742, 252 is 1.

Therefore, GCD of numbers 131, 295, 742, 252 is 1

Given Input Data is 131, 295, 742, 252

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

Prime Factorization of 131 is 131

Prime Factorization of 295 is 5 x 59

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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(131, 295) = 38645

GCD(131, 295) = ( 131 x 295 ) / 38645

GCD(131, 295) = 38645 / 38645

GCD(131, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 131, 295, 742, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 834, 171, 264
• GCD of 327, 447, 995, 314
• GCD of 561, 515, 308, 333
• GCD of 590, 748, 298, 419
• GCD of 549, 838, 661, 200

1. What is the GCD of 131, 295, 742, 252?

GCD of 131, 295, 742, 252 is 1

2. Where do I get the detailed procedure to find GCD of 131, 295, 742, 252?

You can find a detailed procedure to find GCD of 131, 295, 742, 252 on our page.

3. How to find GCD of 131, 295, 742, 252 on a calculator?

You can find the GCD of 131, 295, 742, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.