GCD of 595, 456, 725, 702 Calculator

Given Input numbers are 595, 456, 725, 702

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

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 595, 456, 725, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 456, 725, 702 is 1.

Therefore, GCD of numbers 595, 456, 725, 702 is 1

Given Input Data is 595, 456, 725, 702

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(595, 456) = 271320

GCD(595, 456) = ( 595 x 456 ) / 271320

GCD(595, 456) = 271320 / 271320

GCD(595, 456) = 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 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 595, 456, 725, 702 is 1

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1. What is the GCD of 595, 456, 725, 702?

GCD of 595, 456, 725, 702 is 1

2. Where do I get the detailed procedure to find GCD of 595, 456, 725, 702?

You can find a detailed procedure to find GCD of 595, 456, 725, 702 on our page.

3. How to find GCD of 595, 456, 725, 702 on a calculator?

You can find the GCD of 595, 456, 725, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.