GCD of 980, 520, 135, 220 Calculator

Given Input numbers are 980, 520, 135, 220

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

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

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 980, 520, 135, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 520, 135, 220 is 5.

Therefore, GCD of numbers 980, 520, 135, 220 is 5

Given Input Data is 980, 520, 135, 220

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 220 is 2 x 2 x 5 x 11

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(980, 520) = 25480

GCD(980, 520) = ( 980 x 520 ) / 25480

GCD(980, 520) = 509600 / 25480

GCD(980, 520) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 135

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

LCM(20, 135) = 540

GCD(20, 135) = ( 20 x 135 ) / 540

GCD(20, 135) = 2700 / 540

GCD(20, 135) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 220

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

LCM(5, 220) = 220

GCD(5, 220) = ( 5 x 220 ) / 220

GCD(5, 220) = 1100 / 220

GCD(5, 220) = 5

GCD of 980, 520, 135, 220 is 5

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1. What is the GCD of 980, 520, 135, 220?

GCD of 980, 520, 135, 220 is 5

2. Where do I get the detailed procedure to find GCD of 980, 520, 135, 220?

You can find a detailed procedure to find GCD of 980, 520, 135, 220 on our page.

3. How to find GCD of 980, 520, 135, 220 on a calculator?

You can find the GCD of 980, 520, 135, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.