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 478, 735, 607, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 478, 735, 607, 384 is 1
GCD(478, 735, 607, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 735, 607, 384 is 1
GCD(478, 735, 607, 384) = 1
Given Input numbers are 478, 735, 607, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 478, 735, 607, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 735, 607, 384 is 1.
Therefore, GCD of numbers 478, 735, 607, 384 is 1
Given Input Data is 478, 735, 607, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 607 is 607
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(478, 735) = 351330
GCD(478, 735) = ( 478 x 735 ) / 351330
GCD(478, 735) = 351330 / 351330
GCD(478, 735) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 607) = 607
GCD(1, 607) = ( 1 x 607 ) / 607
GCD(1, 607) = 607 / 607
GCD(1, 607) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 478, 735, 607, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 735, 607, 384?
GCD of 478, 735, 607, 384 is 1
2. Where do I get the detailed procedure to find GCD of 478, 735, 607, 384?
You can find a detailed procedure to find GCD of 478, 735, 607, 384 on our page.
3. How to find GCD of 478, 735, 607, 384 on a calculator?
You can find the GCD of 478, 735, 607, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.