GCD of 376, 202, 78, 912 Calculator

Given Input numbers are 376, 202, 78, 912

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 376, 202, 78, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 202, 78, 912 is 2.

Therefore, GCD of numbers 376, 202, 78, 912 is 2

Given Input Data is 376, 202, 78, 912

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 202 is 2 x 101

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(376, 202) = 37976

GCD(376, 202) = ( 376 x 202 ) / 37976

GCD(376, 202) = 75952 / 37976

GCD(376, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 912

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

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

GCD(2, 912) = 1824 / 912

GCD(2, 912) = 2

GCD of 376, 202, 78, 912 is 2

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1. What is the GCD of 376, 202, 78, 912?

GCD of 376, 202, 78, 912 is 2

2. Where do I get the detailed procedure to find GCD of 376, 202, 78, 912?

You can find a detailed procedure to find GCD of 376, 202, 78, 912 on our page.

3. How to find GCD of 376, 202, 78, 912 on a calculator?

You can find the GCD of 376, 202, 78, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.