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 760, 326, 36, 147 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 326, 36, 147 is 1
GCD(760, 326, 36, 147) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 326, 36, 147 is 1
GCD(760, 326, 36, 147) = 1
Given Input numbers are 760, 326, 36, 147
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Greatest Common Divisior
We found the divisors of 760, 326, 36, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 326, 36, 147 is 1.
Therefore, GCD of numbers 760, 326, 36, 147 is 1
Given Input Data is 760, 326, 36, 147
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 326 is 2 x 163
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 147 is 3 x 7 x 7
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(760, 326) = 123880
GCD(760, 326) = ( 760 x 326 ) / 123880
GCD(760, 326) = 247760 / 123880
GCD(760, 326) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 147) = 294
GCD(2, 147) = ( 2 x 147 ) / 294
GCD(2, 147) = 294 / 294
GCD(2, 147) = 1
GCD of 760, 326, 36, 147 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 326, 36, 147?
GCD of 760, 326, 36, 147 is 1
2. Where do I get the detailed procedure to find GCD of 760, 326, 36, 147?
You can find a detailed procedure to find GCD of 760, 326, 36, 147 on our page.
3. How to find GCD of 760, 326, 36, 147 on a calculator?
You can find the GCD of 760, 326, 36, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.