GCD of 374, 242, 616 Calculator

Given Input numbers are 374, 242, 616

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 242

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

1, 2, 11, 22, 121, 242

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 374, 242, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 242, 616 is 22.

Therefore, GCD of numbers 374, 242, 616 is 22

Given Input Data is 374, 242, 616

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Highest common occurrences in the given inputs are 11¹ x 2¹

Multiplying them we get the GCD as 22

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(374, 242) = 4114

GCD(374, 242) = ( 374 x 242 ) / 4114

GCD(374, 242) = 90508 / 4114

GCD(374, 242) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 616

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

LCM(22, 616) = 616

GCD(22, 616) = ( 22 x 616 ) / 616

GCD(22, 616) = 13552 / 616

GCD(22, 616) = 22

GCD of 374, 242, 616 is 22

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1. What is the GCD of 374, 242, 616?

GCD of 374, 242, 616 is 22

2. Where do I get the detailed procedure to find GCD of 374, 242, 616?

You can find a detailed procedure to find GCD of 374, 242, 616 on our page.

3. How to find GCD of 374, 242, 616 on a calculator?

You can find the GCD of 374, 242, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.