GCD of 354, 394, 876, 642 Calculator

Given Input numbers are 354, 394, 876, 642

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 354, 394, 876, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 394, 876, 642 is 2.

Therefore, GCD of numbers 354, 394, 876, 642 is 2

Given Input Data is 354, 394, 876, 642

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 394 is 2 x 197

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 642 is 2 x 3 x 107

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(354, 394) = 69738

GCD(354, 394) = ( 354 x 394 ) / 69738

GCD(354, 394) = 139476 / 69738

GCD(354, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

GCD of 354, 394, 876, 642 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 979, 485, 330, 291

1. What is the GCD of 354, 394, 876, 642?

GCD of 354, 394, 876, 642 is 2

2. Where do I get the detailed procedure to find GCD of 354, 394, 876, 642?

You can find a detailed procedure to find GCD of 354, 394, 876, 642 on our page.

3. How to find GCD of 354, 394, 876, 642 on a calculator?

You can find the GCD of 354, 394, 876, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.