GCD of 76, 754, 731, 679 Calculator

Given Input numbers are 76, 754, 731, 679

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 754

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

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 76, 754, 731, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 754, 731, 679 is 1.

Therefore, GCD of numbers 76, 754, 731, 679 is 1

Given Input Data is 76, 754, 731, 679

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 731 is 17 x 43

Prime Factorization of 679 is 7 x 97

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(76, 754) = 28652

GCD(76, 754) = ( 76 x 754 ) / 28652

GCD(76, 754) = 57304 / 28652

GCD(76, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 76, 754, 731, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 518, 994, 624
• GCD of 49, 270, 232, 694
• GCD of 43, 157, 828, 518
• GCD of 46, 620, 848, 871
• GCD of 91, 934, 385, 963

1. What is the GCD of 76, 754, 731, 679?

GCD of 76, 754, 731, 679 is 1

2. Where do I get the detailed procedure to find GCD of 76, 754, 731, 679?

You can find a detailed procedure to find GCD of 76, 754, 731, 679 on our page.

3. How to find GCD of 76, 754, 731, 679 on a calculator?

You can find the GCD of 76, 754, 731, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.