GCD of 452, 982, 616 Calculator

Given Input numbers are 452, 982, 616

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

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 452, 982, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 982, 616 is 2.

Therefore, GCD of numbers 452, 982, 616 is 2

Given Input Data is 452, 982, 616

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 982 is 2 x 491

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

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(452, 982) = 221932

GCD(452, 982) = ( 452 x 982 ) / 221932

GCD(452, 982) = 443864 / 221932

GCD(452, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

GCD of 452, 982, 616 is 2

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1. What is the GCD of 452, 982, 616?

GCD of 452, 982, 616 is 2

2. Where do I get the detailed procedure to find GCD of 452, 982, 616?

You can find a detailed procedure to find GCD of 452, 982, 616 on our page.

3. How to find GCD of 452, 982, 616 on a calculator?

You can find the GCD of 452, 982, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.