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, 464, 304, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 464, 304, 696 is 1
GCD(747, 464, 304, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 464, 304, 696 is 1
GCD(747, 464, 304, 696) = 1
Given Input numbers are 747, 464, 304, 696
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 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Greatest Common Divisior
We found the divisors of 747, 464, 304, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 464, 304, 696 is 1.
Therefore, GCD of numbers 747, 464, 304, 696 is 1
Given Input Data is 747, 464, 304, 696
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 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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, 464) = 346608
GCD(747, 464) = ( 747 x 464 ) / 346608
GCD(747, 464) = 346608 / 346608
GCD(747, 464) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
GCD of 747, 464, 304, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 464, 304, 696?
GCD of 747, 464, 304, 696 is 1
2. Where do I get the detailed procedure to find GCD of 747, 464, 304, 696?
You can find a detailed procedure to find GCD of 747, 464, 304, 696 on our page.
3. How to find GCD of 747, 464, 304, 696 on a calculator?
You can find the GCD of 747, 464, 304, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.