GCD of 714, 144, 772 Calculator
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 714, 144, 772 i.e. 2 largest integer that divides all the numbers equally.
GCD of 714, 144, 772 is 2
GCD(714, 144, 772) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 714, 144, 772 is 2
GCD(714, 144, 772) = 2
GCDof 714,144,772 is 2
Given Input numbers are 714, 144, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 714, 144, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 144, 772 is 2.
Therefore, GCD of numbers 714, 144, 772 is 2
Given Input Data is 714, 144, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 772 is 2 x 2 x 193
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 714, 144, 772 using LCM Formula
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(714, 144) = 17136
GCD(714, 144) = ( 714 x 144 ) / 17136
GCD(714, 144) = 102816 / 17136
GCD(714, 144) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 772) = 2316
GCD(6, 772) = ( 6 x 772 ) / 2316
GCD(6, 772) = 4632 / 2316
GCD(6, 772) = 2
GCD of 714, 144, 772 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 714, 144, 772
1. What is the GCD of 714, 144, 772?
GCD of 714, 144, 772 is 2
2. Where do I get the detailed procedure to find GCD of 714, 144, 772?
You can find a detailed procedure to find GCD of 714, 144, 772 on our page.
3. How to find GCD of 714, 144, 772 on a calculator?
You can find the GCD of 714, 144, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
