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 248, 412, 731, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 412, 731, 291 is 1
GCD(248, 412, 731, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 412, 731, 291 is 1
GCD(248, 412, 731, 291) = 1
Given Input numbers are 248, 412, 731, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 248, 412, 731, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 412, 731, 291 is 1.
Therefore, GCD of numbers 248, 412, 731, 291 is 1
Given Input Data is 248, 412, 731, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 731 is 17 x 43
Prime Factorization of 291 is 3 x 97
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(248, 412) = 25544
GCD(248, 412) = ( 248 x 412 ) / 25544
GCD(248, 412) = 102176 / 25544
GCD(248, 412) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 731) = 2924
GCD(4, 731) = ( 4 x 731 ) / 2924
GCD(4, 731) = 2924 / 2924
GCD(4, 731) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 248, 412, 731, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 412, 731, 291?
GCD of 248, 412, 731, 291 is 1
2. Where do I get the detailed procedure to find GCD of 248, 412, 731, 291?
You can find a detailed procedure to find GCD of 248, 412, 731, 291 on our page.
3. How to find GCD of 248, 412, 731, 291 on a calculator?
You can find the GCD of 248, 412, 731, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.