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, 643, 724, 248 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 643, 724, 248 is 1
GCD(741, 643, 724, 248) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 643, 724, 248 is 1
GCD(741, 643, 724, 248) = 1
Given Input numbers are 741, 643, 724, 248
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 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Greatest Common Divisior
We found the divisors of 741, 643, 724, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 643, 724, 248 is 1.
Therefore, GCD of numbers 741, 643, 724, 248 is 1
Given Input Data is 741, 643, 724, 248
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 643 is 643
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 248 is 2 x 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, 643) = 476463
GCD(741, 643) = ( 741 x 643 ) / 476463
GCD(741, 643) = 476463 / 476463
GCD(741, 643) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 248) = 248
GCD(1, 248) = ( 1 x 248 ) / 248
GCD(1, 248) = 248 / 248
GCD(1, 248) = 1
GCD of 741, 643, 724, 248 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 643, 724, 248?
GCD of 741, 643, 724, 248 is 1
2. Where do I get the detailed procedure to find GCD of 741, 643, 724, 248?
You can find a detailed procedure to find GCD of 741, 643, 724, 248 on our page.
3. How to find GCD of 741, 643, 724, 248 on a calculator?
You can find the GCD of 741, 643, 724, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.