GCD of 674, 731, 748 Calculator

Given Input numbers are 674, 731, 748

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 731

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

1, 17, 43, 731

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 674, 731, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 731, 748 is 1.

Therefore, GCD of numbers 674, 731, 748 is 1

Given Input Data is 674, 731, 748

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 731 is 17 x 43

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 731) = 492694

GCD(674, 731) = ( 674 x 731 ) / 492694

GCD(674, 731) = 492694 / 492694

GCD(674, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 674, 731, 748 is 1

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1. What is the GCD of 674, 731, 748?

GCD of 674, 731, 748 is 1

2. Where do I get the detailed procedure to find GCD of 674, 731, 748?

You can find a detailed procedure to find GCD of 674, 731, 748 on our page.

3. How to find GCD of 674, 731, 748 on a calculator?

You can find the GCD of 674, 731, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.