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 132, 609, 62, 310 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 609, 62, 310 is 1
GCD(132, 609, 62, 310) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 609, 62, 310 is 1
GCD(132, 609, 62, 310) = 1
Given Input numbers are 132, 609, 62, 310
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Greatest Common Divisior
We found the divisors of 132, 609, 62, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 609, 62, 310 is 1.
Therefore, GCD of numbers 132, 609, 62, 310 is 1
Given Input Data is 132, 609, 62, 310
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 62 is 2 x 31
Prime Factorization of 310 is 2 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
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(132, 609) = 26796
GCD(132, 609) = ( 132 x 609 ) / 26796
GCD(132, 609) = 80388 / 26796
GCD(132, 609) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 62) = 186
GCD(3, 62) = ( 3 x 62 ) / 186
GCD(3, 62) = 186 / 186
GCD(3, 62) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
GCD of 132, 609, 62, 310 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 609, 62, 310?
GCD of 132, 609, 62, 310 is 1
2. Where do I get the detailed procedure to find GCD of 132, 609, 62, 310?
You can find a detailed procedure to find GCD of 132, 609, 62, 310 on our page.
3. How to find GCD of 132, 609, 62, 310 on a calculator?
You can find the GCD of 132, 609, 62, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.