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, 142, 603, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 142, 603, 878 is 1
GCD(726, 142, 603, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 142, 603, 878 is 1
GCD(726, 142, 603, 878) = 1
Given Input numbers are 726, 142, 603, 878
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 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 726, 142, 603, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 142, 603, 878 is 1.
Therefore, GCD of numbers 726, 142, 603, 878 is 1
Given Input Data is 726, 142, 603, 878
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 142 is 2 x 71
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 878 is 2 x 439
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, 142) = 51546
GCD(726, 142) = ( 726 x 142 ) / 51546
GCD(726, 142) = 103092 / 51546
GCD(726, 142) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 603
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 603) = 1206
GCD(2, 603) = ( 2 x 603 ) / 1206
GCD(2, 603) = 1206 / 1206
GCD(2, 603) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
GCD of 726, 142, 603, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 142, 603, 878?
GCD of 726, 142, 603, 878 is 1
2. Where do I get the detailed procedure to find GCD of 726, 142, 603, 878?
You can find a detailed procedure to find GCD of 726, 142, 603, 878 on our page.
3. How to find GCD of 726, 142, 603, 878 on a calculator?
You can find the GCD of 726, 142, 603, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.