GCD of 376, 962, 676, 874 Calculator

Given Input numbers are 376, 962, 676, 874

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 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 376, 962, 676, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 962, 676, 874 is 2.

Therefore, GCD of numbers 376, 962, 676, 874 is 2

Given Input Data is 376, 962, 676, 874

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 962 is 2 x 13 x 37

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 874 is 2 x 19 x 23

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, 962) = 180856

GCD(376, 962) = ( 376 x 962 ) / 180856

GCD(376, 962) = 361712 / 180856

GCD(376, 962) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

GCD of 376, 962, 676, 874 is 2

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1. What is the GCD of 376, 962, 676, 874?

GCD of 376, 962, 676, 874 is 2

2. Where do I get the detailed procedure to find GCD of 376, 962, 676, 874?

You can find a detailed procedure to find GCD of 376, 962, 676, 874 on our page.

3. How to find GCD of 376, 962, 676, 874 on a calculator?

You can find the GCD of 376, 962, 676, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.