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 742, 326, 96, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 326, 96, 251 is 1
GCD(742, 326, 96, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 326, 96, 251 is 1
GCD(742, 326, 96, 251) = 1
Given Input numbers are 742, 326, 96, 251
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 742, 326, 96, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 326, 96, 251 is 1.
Therefore, GCD of numbers 742, 326, 96, 251 is 1
Given Input Data is 742, 326, 96, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 326 is 2 x 163
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 251 is 251
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(742, 326) = 120946
GCD(742, 326) = ( 742 x 326 ) / 120946
GCD(742, 326) = 241892 / 120946
GCD(742, 326) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 96) = 96
GCD(2, 96) = ( 2 x 96 ) / 96
GCD(2, 96) = 192 / 96
GCD(2, 96) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 251) = 502
GCD(2, 251) = ( 2 x 251 ) / 502
GCD(2, 251) = 502 / 502
GCD(2, 251) = 1
GCD of 742, 326, 96, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 742, 326, 96, 251?
GCD of 742, 326, 96, 251 is 1
2. Where do I get the detailed procedure to find GCD of 742, 326, 96, 251?
You can find a detailed procedure to find GCD of 742, 326, 96, 251 on our page.
3. How to find GCD of 742, 326, 96, 251 on a calculator?
You can find the GCD of 742, 326, 96, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.