GCD of 504, 692, 908 Calculator

Given Input numbers are 504, 692, 908

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 504, 692, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 692, 908 is 4.

Therefore, GCD of numbers 504, 692, 908 is 4

Given Input Data is 504, 692, 908

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 692 is 2 x 2 x 173

Prime Factorization of 908 is 2 x 2 x 227

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 692) = 87192

GCD(504, 692) = ( 504 x 692 ) / 87192

GCD(504, 692) = 348768 / 87192

GCD(504, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 908

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

LCM(4, 908) = 908

GCD(4, 908) = ( 4 x 908 ) / 908

GCD(4, 908) = 3632 / 908

GCD(4, 908) = 4

GCD of 504, 692, 908 is 4

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1. What is the GCD of 504, 692, 908?

GCD of 504, 692, 908 is 4

2. Where do I get the detailed procedure to find GCD of 504, 692, 908?

You can find a detailed procedure to find GCD of 504, 692, 908 on our page.

3. How to find GCD of 504, 692, 908 on a calculator?

You can find the GCD of 504, 692, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.