GCD of 131, 253, 48, 772 Calculator

Given Input numbers are 131, 253, 48, 772

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 253

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

1, 11, 23, 253

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 131, 253, 48, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 253, 48, 772 is 1.

Therefore, GCD of numbers 131, 253, 48, 772 is 1

Given Input Data is 131, 253, 48, 772

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

Prime Factorization of 131 is 131

Prime Factorization of 253 is 11 x 23

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 772 is 2 x 2 x 193

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, 253) = 33143

GCD(131, 253) = ( 131 x 253 ) / 33143

GCD(131, 253) = 33143 / 33143

GCD(131, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 131, 253, 48, 772 is 1

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1. What is the GCD of 131, 253, 48, 772?

GCD of 131, 253, 48, 772 is 1

2. Where do I get the detailed procedure to find GCD of 131, 253, 48, 772?

You can find a detailed procedure to find GCD of 131, 253, 48, 772 on our page.

3. How to find GCD of 131, 253, 48, 772 on a calculator?

You can find the GCD of 131, 253, 48, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.