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, 330, 362, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 330, 362, 739 is 1
GCD(132, 330, 362, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 330, 362, 739 is 1
GCD(132, 330, 362, 739) = 1
Given Input numbers are 132, 330, 362, 739
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 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 132, 330, 362, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 330, 362, 739 is 1.
Therefore, GCD of numbers 132, 330, 362, 739 is 1
Given Input Data is 132, 330, 362, 739
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 330 is 2 x 3 x 5 x 11
Prime Factorization of 362 is 2 x 181
Prime Factorization of 739 is 739
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, 330) = 660
GCD(132, 330) = ( 132 x 330 ) / 660
GCD(132, 330) = 43560 / 660
GCD(132, 330) = 66
Step2:
Here we consider the GCD from the above i.e. 66 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(66, 362) = 11946
GCD(66, 362) = ( 66 x 362 ) / 11946
GCD(66, 362) = 23892 / 11946
GCD(66, 362) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 739) = 1478
GCD(2, 739) = ( 2 x 739 ) / 1478
GCD(2, 739) = 1478 / 1478
GCD(2, 739) = 1
GCD of 132, 330, 362, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 330, 362, 739?
GCD of 132, 330, 362, 739 is 1
2. Where do I get the detailed procedure to find GCD of 132, 330, 362, 739?
You can find a detailed procedure to find GCD of 132, 330, 362, 739 on our page.
3. How to find GCD of 132, 330, 362, 739 on a calculator?
You can find the GCD of 132, 330, 362, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.