GCD of 749, 388, 725, 674 Calculator

Given Input numbers are 749, 388, 725, 674

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 674

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

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 749, 388, 725, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 388, 725, 674 is 1.

Therefore, GCD of numbers 749, 388, 725, 674 is 1

Given Input Data is 749, 388, 725, 674

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 674 is 2 x 337

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(749, 388) = 290612

GCD(749, 388) = ( 749 x 388 ) / 290612

GCD(749, 388) = 290612 / 290612

GCD(749, 388) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 749, 388, 725, 674 is 1

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1. What is the GCD of 749, 388, 725, 674?

GCD of 749, 388, 725, 674 is 1

2. Where do I get the detailed procedure to find GCD of 749, 388, 725, 674?

You can find a detailed procedure to find GCD of 749, 388, 725, 674 on our page.

3. How to find GCD of 749, 388, 725, 674 on a calculator?

You can find the GCD of 749, 388, 725, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.