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 764, 478, 472, 464 i.e. 2 largest integer that divides all the numbers equally.
GCD of 764, 478, 472, 464 is 2
GCD(764, 478, 472, 464) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 478, 472, 464 is 2
GCD(764, 478, 472, 464) = 2
Given Input numbers are 764, 478, 472, 464
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
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
Greatest Common Divisior
We found the divisors of 764, 478, 472, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 478, 472, 464 is 2.
Therefore, GCD of numbers 764, 478, 472, 464 is 2
Given Input Data is 764, 478, 472, 464
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 478 is 2 x 239
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(764, 478) = 182596
GCD(764, 478) = ( 764 x 478 ) / 182596
GCD(764, 478) = 365192 / 182596
GCD(764, 478) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
GCD(2, 472) = 944 / 472
GCD(2, 472) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 464) = 464
GCD(2, 464) = ( 2 x 464 ) / 464
GCD(2, 464) = 928 / 464
GCD(2, 464) = 2
GCD of 764, 478, 472, 464 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 478, 472, 464?
GCD of 764, 478, 472, 464 is 2
2. Where do I get the detailed procedure to find GCD of 764, 478, 472, 464?
You can find a detailed procedure to find GCD of 764, 478, 472, 464 on our page.
3. How to find GCD of 764, 478, 472, 464 on a calculator?
You can find the GCD of 764, 478, 472, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.