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 65, 147, 813, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 147, 813, 763 is 1
GCD(65, 147, 813, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 147, 813, 763 is 1
GCD(65, 147, 813, 763) = 1
Given Input numbers are 65, 147, 813, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 65, 147, 813, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 147, 813, 763 is 1.
Therefore, GCD of numbers 65, 147, 813, 763 is 1
Given Input Data is 65, 147, 813, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 813 is 3 x 271
Prime Factorization of 763 is 7 x 109
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(65, 147) = 9555
GCD(65, 147) = ( 65 x 147 ) / 9555
GCD(65, 147) = 9555 / 9555
GCD(65, 147) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 813
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 813) = 813
GCD(1, 813) = ( 1 x 813 ) / 813
GCD(1, 813) = 813 / 813
GCD(1, 813) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
GCD of 65, 147, 813, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 147, 813, 763?
GCD of 65, 147, 813, 763 is 1
2. Where do I get the detailed procedure to find GCD of 65, 147, 813, 763?
You can find a detailed procedure to find GCD of 65, 147, 813, 763 on our page.
3. How to find GCD of 65, 147, 813, 763 on a calculator?
You can find the GCD of 65, 147, 813, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.