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, 124, 701, 452 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 124, 701, 452 is 1
GCD(726, 124, 701, 452) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 124, 701, 452 is 1
GCD(726, 124, 701, 452) = 1
Given Input numbers are 726, 124, 701, 452
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 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Greatest Common Divisior
We found the divisors of 726, 124, 701, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 124, 701, 452 is 1.
Therefore, GCD of numbers 726, 124, 701, 452 is 1
Given Input Data is 726, 124, 701, 452
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 124 is 2 x 2 x 31
Prime Factorization of 701 is 701
Prime Factorization of 452 is 2 x 2 x 113
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(726, 124) = 45012
GCD(726, 124) = ( 726 x 124 ) / 45012
GCD(726, 124) = 90024 / 45012
GCD(726, 124) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 701) = 1402
GCD(2, 701) = ( 2 x 701 ) / 1402
GCD(2, 701) = 1402 / 1402
GCD(2, 701) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
GCD(1, 452) = 452 / 452
GCD(1, 452) = 1
GCD of 726, 124, 701, 452 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 124, 701, 452?
GCD of 726, 124, 701, 452 is 1
2. Where do I get the detailed procedure to find GCD of 726, 124, 701, 452?
You can find a detailed procedure to find GCD of 726, 124, 701, 452 on our page.
3. How to find GCD of 726, 124, 701, 452 on a calculator?
You can find the GCD of 726, 124, 701, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.