GCD of 632, 836, 388, 916 Calculator

Given Input numbers are 632, 836, 388, 916

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 632, 836, 388, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 836, 388, 916 is 4.

Therefore, GCD of numbers 632, 836, 388, 916 is 4

Given Input Data is 632, 836, 388, 916

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 916 is 2 x 2 x 229

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(632, 836) = 132088

GCD(632, 836) = ( 632 x 836 ) / 132088

GCD(632, 836) = 528352 / 132088

GCD(632, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 388

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

LCM(4, 388) = 388

GCD(4, 388) = ( 4 x 388 ) / 388

GCD(4, 388) = 1552 / 388

GCD(4, 388) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 916

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

LCM(4, 916) = 916

GCD(4, 916) = ( 4 x 916 ) / 916

GCD(4, 916) = 3664 / 916

GCD(4, 916) = 4

GCD of 632, 836, 388, 916 is 4

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1. What is the GCD of 632, 836, 388, 916?

GCD of 632, 836, 388, 916 is 4

2. Where do I get the detailed procedure to find GCD of 632, 836, 388, 916?

You can find a detailed procedure to find GCD of 632, 836, 388, 916 on our page.

3. How to find GCD of 632, 836, 388, 916 on a calculator?

You can find the GCD of 632, 836, 388, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.