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, 336, 780, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 336, 780, 337 is 1
GCD(132, 336, 780, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 336, 780, 337 is 1
GCD(132, 336, 780, 337) = 1
Given Input numbers are 132, 336, 780, 337
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 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 132, 336, 780, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 336, 780, 337 is 1.
Therefore, GCD of numbers 132, 336, 780, 337 is 1
Given Input Data is 132, 336, 780, 337
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 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 337 is 337
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, 336) = 3696
GCD(132, 336) = ( 132 x 336 ) / 3696
GCD(132, 336) = 44352 / 3696
GCD(132, 336) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 780) = 780
GCD(12, 780) = ( 12 x 780 ) / 780
GCD(12, 780) = 9360 / 780
GCD(12, 780) = 12
Step3:
Here we consider the GCD from the above i.e. 12 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 337) = 4044
GCD(12, 337) = ( 12 x 337 ) / 4044
GCD(12, 337) = 4044 / 4044
GCD(12, 337) = 1
GCD of 132, 336, 780, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 336, 780, 337?
GCD of 132, 336, 780, 337 is 1
2. Where do I get the detailed procedure to find GCD of 132, 336, 780, 337?
You can find a detailed procedure to find GCD of 132, 336, 780, 337 on our page.
3. How to find GCD of 132, 336, 780, 337 on a calculator?
You can find the GCD of 132, 336, 780, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.