GCD of 642, 116, 732 Calculator

Given Input numbers are 642, 116, 732

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

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 642, 116, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 116, 732 is 2.

Therefore, GCD of numbers 642, 116, 732 is 2

Given Input Data is 642, 116, 732

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(642, 116) = 37236

GCD(642, 116) = ( 642 x 116 ) / 37236

GCD(642, 116) = 74472 / 37236

GCD(642, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 732

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

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

GCD(2, 732) = 1464 / 732

GCD(2, 732) = 2

GCD of 642, 116, 732 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 945, 119
• GCD of 183, 836, 868
• GCD of 257, 435, 230
• GCD of 549, 277, 305
• GCD of 520, 882, 130

1. What is the GCD of 642, 116, 732?

GCD of 642, 116, 732 is 2

2. Where do I get the detailed procedure to find GCD of 642, 116, 732?

You can find a detailed procedure to find GCD of 642, 116, 732 on our page.

3. How to find GCD of 642, 116, 732 on a calculator?

You can find the GCD of 642, 116, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.