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 747, 902, 226, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 902, 226, 368 is 1
GCD(747, 902, 226, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 902, 226, 368 is 1
GCD(747, 902, 226, 368) = 1
Given Input numbers are 747, 902, 226, 368
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 747, 902, 226, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 902, 226, 368 is 1.
Therefore, GCD of numbers 747, 902, 226, 368 is 1
Given Input Data is 747, 902, 226, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 226 is 2 x 113
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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(747, 902) = 673794
GCD(747, 902) = ( 747 x 902 ) / 673794
GCD(747, 902) = 673794 / 673794
GCD(747, 902) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 747, 902, 226, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 902, 226, 368?
GCD of 747, 902, 226, 368 is 1
2. Where do I get the detailed procedure to find GCD of 747, 902, 226, 368?
You can find a detailed procedure to find GCD of 747, 902, 226, 368 on our page.
3. How to find GCD of 747, 902, 226, 368 on a calculator?
You can find the GCD of 747, 902, 226, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.