GCD of 520, 266, 868, 988 Calculator

Given Input numbers are 520, 266, 868, 988

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

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 520, 266, 868, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 266, 868, 988 is 2.

Therefore, GCD of numbers 520, 266, 868, 988 is 2

Given Input Data is 520, 266, 868, 988

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

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(520, 266) = 69160

GCD(520, 266) = ( 520 x 266 ) / 69160

GCD(520, 266) = 138320 / 69160

GCD(520, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 868

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

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

GCD(2, 868) = 1736 / 868

GCD(2, 868) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 520, 266, 868, 988 is 2

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1. What is the GCD of 520, 266, 868, 988?

GCD of 520, 266, 868, 988 is 2

2. Where do I get the detailed procedure to find GCD of 520, 266, 868, 988?

You can find a detailed procedure to find GCD of 520, 266, 868, 988 on our page.

3. How to find GCD of 520, 266, 868, 988 on a calculator?

You can find the GCD of 520, 266, 868, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.