GCD of 876, 620, 764, 294 Calculator

Given Input numbers are 876, 620, 764, 294

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

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 876, 620, 764, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 620, 764, 294 is 2.

Therefore, GCD of numbers 876, 620, 764, 294 is 2

Given Input Data is 876, 620, 764, 294

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

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

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(876, 620) = 135780

GCD(876, 620) = ( 876 x 620 ) / 135780

GCD(876, 620) = 543120 / 135780

GCD(876, 620) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 764

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

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

GCD(4, 764) = 3056 / 764

GCD(4, 764) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 294

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

LCM(4, 294) = 588

GCD(4, 294) = ( 4 x 294 ) / 588

GCD(4, 294) = 1176 / 588

GCD(4, 294) = 2

GCD of 876, 620, 764, 294 is 2

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1. What is the GCD of 876, 620, 764, 294?

GCD of 876, 620, 764, 294 is 2

2. Where do I get the detailed procedure to find GCD of 876, 620, 764, 294?

You can find a detailed procedure to find GCD of 876, 620, 764, 294 on our page.

3. How to find GCD of 876, 620, 764, 294 on a calculator?

You can find the GCD of 876, 620, 764, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.