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, 445, 676, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 445, 676, 152 is 1
GCD(726, 445, 676, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 445, 676, 152 is 1
GCD(726, 445, 676, 152) = 1
Given Input numbers are 726, 445, 676, 152
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 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 726, 445, 676, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 445, 676, 152 is 1.
Therefore, GCD of numbers 726, 445, 676, 152 is 1
Given Input Data is 726, 445, 676, 152
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 445 is 5 x 89
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 152 is 2 x 2 x 2 x 19
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, 445) = 323070
GCD(726, 445) = ( 726 x 445 ) / 323070
GCD(726, 445) = 323070 / 323070
GCD(726, 445) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 726, 445, 676, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 445, 676, 152?
GCD of 726, 445, 676, 152 is 1
2. Where do I get the detailed procedure to find GCD of 726, 445, 676, 152?
You can find a detailed procedure to find GCD of 726, 445, 676, 152 on our page.
3. How to find GCD of 726, 445, 676, 152 on a calculator?
You can find the GCD of 726, 445, 676, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.