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 764, 110, 83, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 110, 83, 460 is 1
GCD(764, 110, 83, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 110, 83, 460 is 1
GCD(764, 110, 83, 460) = 1
Given Input numbers are 764, 110, 83, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 764, 110, 83, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 110, 83, 460 is 1.
Therefore, GCD of numbers 764, 110, 83, 460 is 1
Given Input Data is 764, 110, 83, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 83 is 83
Prime Factorization of 460 is 2 x 2 x 5 x 23
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(764, 110) = 42020
GCD(764, 110) = ( 764 x 110 ) / 42020
GCD(764, 110) = 84040 / 42020
GCD(764, 110) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 764, 110, 83, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 110, 83, 460?
GCD of 764, 110, 83, 460 is 1
2. Where do I get the detailed procedure to find GCD of 764, 110, 83, 460?
You can find a detailed procedure to find GCD of 764, 110, 83, 460 on our page.
3. How to find GCD of 764, 110, 83, 460 on a calculator?
You can find the GCD of 764, 110, 83, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.