GCD of 676, 131, 760, 754 Calculator

Given Input numbers are 676, 131, 760, 754

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 131

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

1, 131

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 676, 131, 760, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 131, 760, 754 is 1.

Therefore, GCD of numbers 676, 131, 760, 754 is 1

Given Input Data is 676, 131, 760, 754

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 131 is 131

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

Prime Factorization of 754 is 2 x 13 x 29

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(676, 131) = 88556

GCD(676, 131) = ( 676 x 131 ) / 88556

GCD(676, 131) = 88556 / 88556

GCD(676, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 676, 131, 760, 754 is 1

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1. What is the GCD of 676, 131, 760, 754?

GCD of 676, 131, 760, 754 is 1

2. Where do I get the detailed procedure to find GCD of 676, 131, 760, 754?

You can find a detailed procedure to find GCD of 676, 131, 760, 754 on our page.

3. How to find GCD of 676, 131, 760, 754 on a calculator?

You can find the GCD of 676, 131, 760, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.