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, 315, 757, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 315, 757, 820 is 1
GCD(132, 315, 757, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 315, 757, 820 is 1
GCD(132, 315, 757, 820) = 1
Given Input numbers are 132, 315, 757, 820
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 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 132, 315, 757, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 315, 757, 820 is 1.
Therefore, GCD of numbers 132, 315, 757, 820 is 1
Given Input Data is 132, 315, 757, 820
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 315 is 3 x 3 x 5 x 7
Prime Factorization of 757 is 757
Prime Factorization of 820 is 2 x 2 x 5 x 41
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, 315) = 13860
GCD(132, 315) = ( 132 x 315 ) / 13860
GCD(132, 315) = 41580 / 13860
GCD(132, 315) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 757) = 2271
GCD(3, 757) = ( 3 x 757 ) / 2271
GCD(3, 757) = 2271 / 2271
GCD(3, 757) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 132, 315, 757, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 315, 757, 820?
GCD of 132, 315, 757, 820 is 1
2. Where do I get the detailed procedure to find GCD of 132, 315, 757, 820?
You can find a detailed procedure to find GCD of 132, 315, 757, 820 on our page.
3. How to find GCD of 132, 315, 757, 820 on a calculator?
You can find the GCD of 132, 315, 757, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.