GCD of 674, 323, 744, 767 Calculator

Given Input numbers are 674, 323, 744, 767

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 674, 323, 744, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 323, 744, 767 is 1.

Therefore, GCD of numbers 674, 323, 744, 767 is 1

Given Input Data is 674, 323, 744, 767

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 323 is 17 x 19

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 767 is 13 x 59

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(674, 323) = 217702

GCD(674, 323) = ( 674 x 323 ) / 217702

GCD(674, 323) = 217702 / 217702

GCD(674, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 674, 323, 744, 767 is 1

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1. What is the GCD of 674, 323, 744, 767?

GCD of 674, 323, 744, 767 is 1

2. Where do I get the detailed procedure to find GCD of 674, 323, 744, 767?

You can find a detailed procedure to find GCD of 674, 323, 744, 767 on our page.

3. How to find GCD of 674, 323, 744, 767 on a calculator?

You can find the GCD of 674, 323, 744, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.