GCD of 334, 780, 844, 124 Calculator

Given Input numbers are 334, 780, 844, 124

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 334, 780, 844, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 780, 844, 124 is 2.

Therefore, GCD of numbers 334, 780, 844, 124 is 2

Given Input Data is 334, 780, 844, 124

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 124 is 2 x 2 x 31

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(334, 780) = 130260

GCD(334, 780) = ( 334 x 780 ) / 130260

GCD(334, 780) = 260520 / 130260

GCD(334, 780) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 124

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

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

GCD(2, 124) = 248 / 124

GCD(2, 124) = 2

GCD of 334, 780, 844, 124 is 2

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1. What is the GCD of 334, 780, 844, 124?

GCD of 334, 780, 844, 124 is 2

2. Where do I get the detailed procedure to find GCD of 334, 780, 844, 124?

You can find a detailed procedure to find GCD of 334, 780, 844, 124 on our page.

3. How to find GCD of 334, 780, 844, 124 on a calculator?

You can find the GCD of 334, 780, 844, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.