GCD of 702, 738, 915, 472 Calculator

Given Input numbers are 702, 738, 915, 472

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

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 702, 738, 915, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 738, 915, 472 is 1.

Therefore, GCD of numbers 702, 738, 915, 472 is 1

Given Input Data is 702, 738, 915, 472

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

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(702, 738) = 28782

GCD(702, 738) = ( 702 x 738 ) / 28782

GCD(702, 738) = 518076 / 28782

GCD(702, 738) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 915

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

LCM(18, 915) = 5490

GCD(18, 915) = ( 18 x 915 ) / 5490

GCD(18, 915) = 16470 / 5490

GCD(18, 915) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 472

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

LCM(3, 472) = 1416

GCD(3, 472) = ( 3 x 472 ) / 1416

GCD(3, 472) = 1416 / 1416

GCD(3, 472) = 1

GCD of 702, 738, 915, 472 is 1

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1. What is the GCD of 702, 738, 915, 472?

GCD of 702, 738, 915, 472 is 1

2. Where do I get the detailed procedure to find GCD of 702, 738, 915, 472?

You can find a detailed procedure to find GCD of 702, 738, 915, 472 on our page.

3. How to find GCD of 702, 738, 915, 472 on a calculator?

You can find the GCD of 702, 738, 915, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.