GCD of 678, 520, 292 Calculator

Given Input numbers are 678, 520, 292

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 678, 520, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 520, 292 is 2.

Therefore, GCD of numbers 678, 520, 292 is 2

Given Input Data is 678, 520, 292

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 292 is 2 x 2 x 73

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(678, 520) = 176280

GCD(678, 520) = ( 678 x 520 ) / 176280

GCD(678, 520) = 352560 / 176280

GCD(678, 520) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

GCD of 678, 520, 292 is 2

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• GCD of 334, 599, 333
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1. What is the GCD of 678, 520, 292?

GCD of 678, 520, 292 is 2

2. Where do I get the detailed procedure to find GCD of 678, 520, 292?

You can find a detailed procedure to find GCD of 678, 520, 292 on our page.

3. How to find GCD of 678, 520, 292 on a calculator?

You can find the GCD of 678, 520, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.