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, 136, 63, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 136, 63, 741 is 1
GCD(726, 136, 63, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 136, 63, 741 is 1
GCD(726, 136, 63, 741) = 1
Given Input numbers are 726, 136, 63, 741
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 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 726, 136, 63, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 136, 63, 741 is 1.
Therefore, GCD of numbers 726, 136, 63, 741 is 1
Given Input Data is 726, 136, 63, 741
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 136 is 2 x 2 x 2 x 17
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 741 is 3 x 13 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, 136) = 49368
GCD(726, 136) = ( 726 x 136 ) / 49368
GCD(726, 136) = 98736 / 49368
GCD(726, 136) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 63) = 126
GCD(2, 63) = ( 2 x 63 ) / 126
GCD(2, 63) = 126 / 126
GCD(2, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
GCD of 726, 136, 63, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 136, 63, 741?
GCD of 726, 136, 63, 741 is 1
2. Where do I get the detailed procedure to find GCD of 726, 136, 63, 741?
You can find a detailed procedure to find GCD of 726, 136, 63, 741 on our page.
3. How to find GCD of 726, 136, 63, 741 on a calculator?
You can find the GCD of 726, 136, 63, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.