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, 258, 22 i.e. 2 largest integer that divides all the numbers equally.
GCD of 764, 258, 22 is 2
GCD(764, 258, 22) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 258, 22 is 2
GCD(764, 258, 22) = 2
Given Input numbers are 764, 258, 22
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 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Greatest Common Divisior
We found the divisors of 764, 258, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 258, 22 is 2.
Therefore, GCD of numbers 764, 258, 22 is 2
Given Input Data is 764, 258, 22
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 258 is 2 x 3 x 43
Prime Factorization of 22 is 2 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 258) = 98556
GCD(764, 258) = ( 764 x 258 ) / 98556
GCD(764, 258) = 197112 / 98556
GCD(764, 258) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 22) = 22
GCD(2, 22) = ( 2 x 22 ) / 22
GCD(2, 22) = 44 / 22
GCD(2, 22) = 2
GCD of 764, 258, 22 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 258, 22?
GCD of 764, 258, 22 is 2
2. Where do I get the detailed procedure to find GCD of 764, 258, 22?
You can find a detailed procedure to find GCD of 764, 258, 22 on our page.
3. How to find GCD of 764, 258, 22 on a calculator?
You can find the GCD of 764, 258, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.