GCD of 634, 726, 595, 308 Calculator

Given Input numbers are 634, 726, 595, 308

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 634, 726, 595, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 726, 595, 308 is 1.

Therefore, GCD of numbers 634, 726, 595, 308 is 1

Given Input Data is 634, 726, 595, 308

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(634, 726) = 230142

GCD(634, 726) = ( 634 x 726 ) / 230142

GCD(634, 726) = 460284 / 230142

GCD(634, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 595

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

LCM(2, 595) = 1190

GCD(2, 595) = ( 2 x 595 ) / 1190

GCD(2, 595) = 1190 / 1190

GCD(2, 595) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 634, 726, 595, 308 is 1

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1. What is the GCD of 634, 726, 595, 308?

GCD of 634, 726, 595, 308 is 1

2. Where do I get the detailed procedure to find GCD of 634, 726, 595, 308?

You can find a detailed procedure to find GCD of 634, 726, 595, 308 on our page.

3. How to find GCD of 634, 726, 595, 308 on a calculator?

You can find the GCD of 634, 726, 595, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.