GCD of 988, 642, 464 Calculator

Given Input numbers are 988, 642, 464

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 988, 642, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 642, 464 is 2.

Therefore, GCD of numbers 988, 642, 464 is 2

Given Input Data is 988, 642, 464

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(988, 642) = 317148

GCD(988, 642) = ( 988 x 642 ) / 317148

GCD(988, 642) = 634296 / 317148

GCD(988, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 988, 642, 464 is 2

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1. What is the GCD of 988, 642, 464?

GCD of 988, 642, 464 is 2

2. Where do I get the detailed procedure to find GCD of 988, 642, 464?

You can find a detailed procedure to find GCD of 988, 642, 464 on our page.

3. How to find GCD of 988, 642, 464 on a calculator?

You can find the GCD of 988, 642, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.