GCD of 376, 316, 76, 866 Calculator

Given Input numbers are 376, 316, 76, 866

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 376, 316, 76, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 316, 76, 866 is 2.

Therefore, GCD of numbers 376, 316, 76, 866 is 2

Given Input Data is 376, 316, 76, 866

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 316 is 2 x 2 x 79

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 866 is 2 x 433

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, 316) = 29704

GCD(376, 316) = ( 376 x 316 ) / 29704

GCD(376, 316) = 118816 / 29704

GCD(376, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 866

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

LCM(4, 866) = 1732

GCD(4, 866) = ( 4 x 866 ) / 1732

GCD(4, 866) = 3464 / 1732

GCD(4, 866) = 2

GCD of 376, 316, 76, 866 is 2

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1. What is the GCD of 376, 316, 76, 866?

GCD of 376, 316, 76, 866 is 2

2. Where do I get the detailed procedure to find GCD of 376, 316, 76, 866?

You can find a detailed procedure to find GCD of 376, 316, 76, 866 on our page.

3. How to find GCD of 376, 316, 76, 866 on a calculator?

You can find the GCD of 376, 316, 76, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.