GCD of 302, 616, 760, 131 Calculator

Given Input numbers are 302, 616, 760, 131

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 302, 616, 760, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 616, 760, 131 is 1.

Therefore, GCD of numbers 302, 616, 760, 131 is 1

Given Input Data is 302, 616, 760, 131

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(302, 616) = 93016

GCD(302, 616) = ( 302 x 616 ) / 93016

GCD(302, 616) = 186032 / 93016

GCD(302, 616) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

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

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

GCD of 302, 616, 760, 131 is 1

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1. What is the GCD of 302, 616, 760, 131?

GCD of 302, 616, 760, 131 is 1

2. Where do I get the detailed procedure to find GCD of 302, 616, 760, 131?

You can find a detailed procedure to find GCD of 302, 616, 760, 131 on our page.

3. How to find GCD of 302, 616, 760, 131 on a calculator?

You can find the GCD of 302, 616, 760, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.