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 766, 561, 96, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 766, 561, 96, 502 is 1
GCD(766, 561, 96, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 766, 561, 96, 502 is 1
GCD(766, 561, 96, 502) = 1
Given Input numbers are 766, 561, 96, 502
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 766, 561, 96, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 561, 96, 502 is 1.
Therefore, GCD of numbers 766, 561, 96, 502 is 1
Given Input Data is 766, 561, 96, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 766 is 2 x 383
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 502 is 2 x 251
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(766, 561) = 429726
GCD(766, 561) = ( 766 x 561 ) / 429726
GCD(766, 561) = 429726 / 429726
GCD(766, 561) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
GCD of 766, 561, 96, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 766, 561, 96, 502?
GCD of 766, 561, 96, 502 is 1
2. Where do I get the detailed procedure to find GCD of 766, 561, 96, 502?
You can find a detailed procedure to find GCD of 766, 561, 96, 502 on our page.
3. How to find GCD of 766, 561, 96, 502 on a calculator?
You can find the GCD of 766, 561, 96, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.