GCD of 522, 262, 980 Calculator

Given Input numbers are 522, 262, 980

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 522, 262, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 262, 980 is 2.

Therefore, GCD of numbers 522, 262, 980 is 2

Given Input Data is 522, 262, 980

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 262 is 2 x 131

Prime Factorization of 980 is 2 x 2 x 5 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(522, 262) = 68382

GCD(522, 262) = ( 522 x 262 ) / 68382

GCD(522, 262) = 136764 / 68382

GCD(522, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 980

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

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

GCD(2, 980) = 1960 / 980

GCD(2, 980) = 2

GCD of 522, 262, 980 is 2

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1. What is the GCD of 522, 262, 980?

GCD of 522, 262, 980 is 2

2. Where do I get the detailed procedure to find GCD of 522, 262, 980?

You can find a detailed procedure to find GCD of 522, 262, 980 on our page.

3. How to find GCD of 522, 262, 980 on a calculator?

You can find the GCD of 522, 262, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.