GCD of 504, 936, 702 Calculator

Given Input numbers are 504, 936, 702

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 504, 936, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 936, 702 is 18.

Therefore, GCD of numbers 504, 936, 702 is 18

Given Input Data is 504, 936, 702

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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

Highest common occurrences in the given inputs are 2¹ x 3²

Multiplying them we get the GCD as 18

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(504, 936) = 6552

GCD(504, 936) = ( 504 x 936 ) / 6552

GCD(504, 936) = 471744 / 6552

GCD(504, 936) = 72

Step2:

Here we consider the GCD from the above i.e. 72 as first number and the next as 702

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

LCM(72, 702) = 2808

GCD(72, 702) = ( 72 x 702 ) / 2808

GCD(72, 702) = 50544 / 2808

GCD(72, 702) = 18

GCD of 504, 936, 702 is 18

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1. What is the GCD of 504, 936, 702?

GCD of 504, 936, 702 is 18

2. Where do I get the detailed procedure to find GCD of 504, 936, 702?

You can find a detailed procedure to find GCD of 504, 936, 702 on our page.

3. How to find GCD of 504, 936, 702 on a calculator?

You can find the GCD of 504, 936, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.