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, 915, 80, 534 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 915, 80, 534 is 1
GCD(726, 915, 80, 534) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 915, 80, 534 is 1
GCD(726, 915, 80, 534) = 1
Given Input numbers are 726, 915, 80, 534
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 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 726, 915, 80, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 915, 80, 534 is 1.
Therefore, GCD of numbers 726, 915, 80, 534 is 1
Given Input Data is 726, 915, 80, 534
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 915 is 3 x 5 x 61
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 534 is 2 x 3 x 89
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, 915) = 221430
GCD(726, 915) = ( 726 x 915 ) / 221430
GCD(726, 915) = 664290 / 221430
GCD(726, 915) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 80) = 240
GCD(3, 80) = ( 3 x 80 ) / 240
GCD(3, 80) = 240 / 240
GCD(3, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 534) = 534
GCD(1, 534) = ( 1 x 534 ) / 534
GCD(1, 534) = 534 / 534
GCD(1, 534) = 1
GCD of 726, 915, 80, 534 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 915, 80, 534?
GCD of 726, 915, 80, 534 is 1
2. Where do I get the detailed procedure to find GCD of 726, 915, 80, 534?
You can find a detailed procedure to find GCD of 726, 915, 80, 534 on our page.
3. How to find GCD of 726, 915, 80, 534 on a calculator?
You can find the GCD of 726, 915, 80, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.