GCD of 749, 714, 279, 654 Calculator

Given Input numbers are 749, 714, 279, 654

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 749, 714, 279, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 714, 279, 654 is 1.

Therefore, GCD of numbers 749, 714, 279, 654 is 1

Given Input Data is 749, 714, 279, 654

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 654 is 2 x 3 x 109

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, 714) = 76398

GCD(749, 714) = ( 749 x 714 ) / 76398

GCD(749, 714) = 534786 / 76398

GCD(749, 714) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 279

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

LCM(7, 279) = 1953

GCD(7, 279) = ( 7 x 279 ) / 1953

GCD(7, 279) = 1953 / 1953

GCD(7, 279) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 749, 714, 279, 654 is 1

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1. What is the GCD of 749, 714, 279, 654?

GCD of 749, 714, 279, 654 is 1

2. Where do I get the detailed procedure to find GCD of 749, 714, 279, 654?

You can find a detailed procedure to find GCD of 749, 714, 279, 654 on our page.

3. How to find GCD of 749, 714, 279, 654 on a calculator?

You can find the GCD of 749, 714, 279, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.