GCD of 31, 752, 416, 131 Calculator

Given Input numbers are 31, 752, 416, 131

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 131

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

1, 131

Greatest Common Divisior

We found the divisors of 31, 752, 416, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 752, 416, 131 is 1.

Therefore, GCD of numbers 31, 752, 416, 131 is 1

Given Input Data is 31, 752, 416, 131

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

Prime Factorization of 31 is 31

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 131 is 131

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(31, 752) = 23312

GCD(31, 752) = ( 31 x 752 ) / 23312

GCD(31, 752) = 23312 / 23312

GCD(31, 752) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 31, 752, 416, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 507, 607, 620
• GCD of 32, 733, 594, 188
• GCD of 48, 630, 974, 311
• GCD of 21, 738, 231, 230
• GCD of 74, 694, 909, 203

1. What is the GCD of 31, 752, 416, 131?

GCD of 31, 752, 416, 131 is 1

2. Where do I get the detailed procedure to find GCD of 31, 752, 416, 131?

You can find a detailed procedure to find GCD of 31, 752, 416, 131 on our page.

3. How to find GCD of 31, 752, 416, 131 on a calculator?

You can find the GCD of 31, 752, 416, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.