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 726, 962, 252 i.e. 2 largest integer that divides all the numbers equally.
GCD of 726, 962, 252 is 2
GCD(726, 962, 252) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 962, 252 is 2
GCD(726, 962, 252) = 2
Given Input numbers are 726, 962, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greatest Common Divisior
We found the divisors of 726, 962, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 962, 252 is 2.
Therefore, GCD of numbers 726, 962, 252 is 2
Given Input Data is 726, 962, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
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(726, 962) = 349206
GCD(726, 962) = ( 726 x 962 ) / 349206
GCD(726, 962) = 698412 / 349206
GCD(726, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
GCD(2, 252) = 504 / 252
GCD(2, 252) = 2
GCD of 726, 962, 252 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 962, 252?
GCD of 726, 962, 252 is 2
2. Where do I get the detailed procedure to find GCD of 726, 962, 252?
You can find a detailed procedure to find GCD of 726, 962, 252 on our page.
3. How to find GCD of 726, 962, 252 on a calculator?
You can find the GCD of 726, 962, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.