GCD of 224, 478, 980 Calculator

Given Input numbers are 224, 478, 980

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

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 224, 478, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 478, 980 is 2.

Therefore, GCD of numbers 224, 478, 980 is 2

Given Input Data is 224, 478, 980

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 478 is 2 x 239

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(224, 478) = 53536

GCD(224, 478) = ( 224 x 478 ) / 53536

GCD(224, 478) = 107072 / 53536

GCD(224, 478) = 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 224, 478, 980 is 2

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1. What is the GCD of 224, 478, 980?

GCD of 224, 478, 980 is 2

2. Where do I get the detailed procedure to find GCD of 224, 478, 980?

You can find a detailed procedure to find GCD of 224, 478, 980 on our page.

3. How to find GCD of 224, 478, 980 on a calculator?

You can find the GCD of 224, 478, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.