GCD of 220, 966, 980 Calculator

Given Input numbers are 220, 966, 980

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

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 220, 966, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 966, 980 is 2.

Therefore, GCD of numbers 220, 966, 980 is 2

Given Input Data is 220, 966, 980

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

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(220, 966) = 106260

GCD(220, 966) = ( 220 x 966 ) / 106260

GCD(220, 966) = 212520 / 106260

GCD(220, 966) = 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 220, 966, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 461, 291
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1. What is the GCD of 220, 966, 980?

GCD of 220, 966, 980 is 2

2. Where do I get the detailed procedure to find GCD of 220, 966, 980?

You can find a detailed procedure to find GCD of 220, 966, 980 on our page.

3. How to find GCD of 220, 966, 980 on a calculator?

You can find the GCD of 220, 966, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.