Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 646, 472, 598, 132 i.e. 2 largest integer that divides all the numbers equally.
GCD of 646, 472, 598, 132 is 2
GCD(646, 472, 598, 132) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 646, 472, 598, 132 is 2
GCD(646, 472, 598, 132) = 2
Given Input numbers are 646, 472, 598, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 646, 472, 598, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 472, 598, 132 is 2.
Therefore, GCD of numbers 646, 472, 598, 132 is 2
Given Input Data is 646, 472, 598, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 132 is 2 x 2 x 3 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(646, 472) = 152456
GCD(646, 472) = ( 646 x 472 ) / 152456
GCD(646, 472) = 304912 / 152456
GCD(646, 472) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 598) = 598
GCD(2, 598) = ( 2 x 598 ) / 598
GCD(2, 598) = 1196 / 598
GCD(2, 598) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
GCD(2, 132) = 264 / 132
GCD(2, 132) = 2
GCD of 646, 472, 598, 132 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 646, 472, 598, 132?
GCD of 646, 472, 598, 132 is 2
2. Where do I get the detailed procedure to find GCD of 646, 472, 598, 132?
You can find a detailed procedure to find GCD of 646, 472, 598, 132 on our page.
3. How to find GCD of 646, 472, 598, 132 on a calculator?
You can find the GCD of 646, 472, 598, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.