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 162, 722, 764 i.e. 2 largest integer that divides all the numbers equally.
GCD of 162, 722, 764 is 2
GCD(162, 722, 764) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 722, 764 is 2
GCD(162, 722, 764) = 2
Given Input numbers are 162, 722, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 162, 722, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 722, 764 is 2.
Therefore, GCD of numbers 162, 722, 764 is 2
Given Input Data is 162, 722, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 764 is 2 x 2 x 191
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(162, 722) = 58482
GCD(162, 722) = ( 162 x 722 ) / 58482
GCD(162, 722) = 116964 / 58482
GCD(162, 722) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
GCD(2, 764) = 1528 / 764
GCD(2, 764) = 2
GCD of 162, 722, 764 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 722, 764?
GCD of 162, 722, 764 is 2
2. Where do I get the detailed procedure to find GCD of 162, 722, 764?
You can find a detailed procedure to find GCD of 162, 722, 764 on our page.
3. How to find GCD of 162, 722, 764 on a calculator?
You can find the GCD of 162, 722, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.