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 741, 514, 171, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 514, 171, 124 is 1
GCD(741, 514, 171, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 514, 171, 124 is 1
GCD(741, 514, 171, 124) = 1
Given Input numbers are 741, 514, 171, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 741, 514, 171, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 514, 171, 124 is 1.
Therefore, GCD of numbers 741, 514, 171, 124 is 1
Given Input Data is 741, 514, 171, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 514 is 2 x 257
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 124 is 2 x 2 x 31
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(741, 514) = 380874
GCD(741, 514) = ( 741 x 514 ) / 380874
GCD(741, 514) = 380874 / 380874
GCD(741, 514) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 741, 514, 171, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 514, 171, 124?
GCD of 741, 514, 171, 124 is 1
2. Where do I get the detailed procedure to find GCD of 741, 514, 171, 124?
You can find a detailed procedure to find GCD of 741, 514, 171, 124 on our page.
3. How to find GCD of 741, 514, 171, 124 on a calculator?
You can find the GCD of 741, 514, 171, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.