GCD of 658, 679, 508, 749 Calculator

Given Input numbers are 658, 679, 508, 749

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 679

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

1, 7, 97, 679

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 749

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

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 658, 679, 508, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 679, 508, 749 is 1.

Therefore, GCD of numbers 658, 679, 508, 749 is 1

Given Input Data is 658, 679, 508, 749

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 679 is 7 x 97

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 749 is 7 x 107

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(658, 679) = 63826

GCD(658, 679) = ( 658 x 679 ) / 63826

GCD(658, 679) = 446782 / 63826

GCD(658, 679) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 508

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

LCM(7, 508) = 3556

GCD(7, 508) = ( 7 x 508 ) / 3556

GCD(7, 508) = 3556 / 3556

GCD(7, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 658, 679, 508, 749 is 1

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1. What is the GCD of 658, 679, 508, 749?

GCD of 658, 679, 508, 749 is 1

2. Where do I get the detailed procedure to find GCD of 658, 679, 508, 749?

You can find a detailed procedure to find GCD of 658, 679, 508, 749 on our page.

3. How to find GCD of 658, 679, 508, 749 on a calculator?

You can find the GCD of 658, 679, 508, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.