GCD of 120, 242, 716 Calculator

Given Input numbers are 120, 242, 716

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 120, 242, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 242, 716 is 2.

Therefore, GCD of numbers 120, 242, 716 is 2

Given Input Data is 120, 242, 716

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 716 is 2 x 2 x 179

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(120, 242) = 14520

GCD(120, 242) = ( 120 x 242 ) / 14520

GCD(120, 242) = 29040 / 14520

GCD(120, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

GCD of 120, 242, 716 is 2

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• GCD of 570, 142, 352
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1. What is the GCD of 120, 242, 716?

GCD of 120, 242, 716 is 2

2. Where do I get the detailed procedure to find GCD of 120, 242, 716?

You can find a detailed procedure to find GCD of 120, 242, 716 on our page.

3. How to find GCD of 120, 242, 716 on a calculator?

You can find the GCD of 120, 242, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.