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 727, 154, 60, 749 i.e. 1 largest integer that divides all the numbers equally.
GCD of 727, 154, 60, 749 is 1
GCD(727, 154, 60, 749) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 727, 154, 60, 749 is 1
GCD(727, 154, 60, 749) = 1
Given Input numbers are 727, 154, 60, 749
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Greatest Common Divisior
We found the divisors of 727, 154, 60, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 154, 60, 749 is 1.
Therefore, GCD of numbers 727, 154, 60, 749 is 1
Given Input Data is 727, 154, 60, 749
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 727 is 727
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 749 is 7 x 107
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(727, 154) = 111958
GCD(727, 154) = ( 727 x 154 ) / 111958
GCD(727, 154) = 111958 / 111958
GCD(727, 154) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
GCD(1, 749) = 749 / 749
GCD(1, 749) = 1
GCD of 727, 154, 60, 749 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 727, 154, 60, 749?
GCD of 727, 154, 60, 749 is 1
2. Where do I get the detailed procedure to find GCD of 727, 154, 60, 749?
You can find a detailed procedure to find GCD of 727, 154, 60, 749 on our page.
3. How to find GCD of 727, 154, 60, 749 on a calculator?
You can find the GCD of 727, 154, 60, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.