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 748, 196, 773, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 196, 773, 460 is 1
GCD(748, 196, 773, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 196, 773, 460 is 1
GCD(748, 196, 773, 460) = 1
Given Input numbers are 748, 196, 773, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 748, 196, 773, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 196, 773, 460 is 1.
Therefore, GCD of numbers 748, 196, 773, 460 is 1
Given Input Data is 748, 196, 773, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 773 is 773
Prime Factorization of 460 is 2 x 2 x 5 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(748, 196) = 36652
GCD(748, 196) = ( 748 x 196 ) / 36652
GCD(748, 196) = 146608 / 36652
GCD(748, 196) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 773
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 773) = 3092
GCD(4, 773) = ( 4 x 773 ) / 3092
GCD(4, 773) = 3092 / 3092
GCD(4, 773) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 748, 196, 773, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 196, 773, 460?
GCD of 748, 196, 773, 460 is 1
2. Where do I get the detailed procedure to find GCD of 748, 196, 773, 460?
You can find a detailed procedure to find GCD of 748, 196, 773, 460 on our page.
3. How to find GCD of 748, 196, 773, 460 on a calculator?
You can find the GCD of 748, 196, 773, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.