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 25, 660, 430, 678 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 660, 430, 678 is 1
GCD(25, 660, 430, 678) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 660, 430, 678 is 1
GCD(25, 660, 430, 678) = 1
Given Input numbers are 25, 660, 430, 678
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Greatest Common Divisior
We found the divisors of 25, 660, 430, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 660, 430, 678 is 1.
Therefore, GCD of numbers 25, 660, 430, 678 is 1
Given Input Data is 25, 660, 430, 678
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 678 is 2 x 3 x 113
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(25, 660) = 3300
GCD(25, 660) = ( 25 x 660 ) / 3300
GCD(25, 660) = 16500 / 3300
GCD(25, 660) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 430) = 430
GCD(5, 430) = ( 5 x 430 ) / 430
GCD(5, 430) = 2150 / 430
GCD(5, 430) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 678) = 3390
GCD(5, 678) = ( 5 x 678 ) / 3390
GCD(5, 678) = 3390 / 3390
GCD(5, 678) = 1
GCD of 25, 660, 430, 678 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 660, 430, 678?
GCD of 25, 660, 430, 678 is 1
2. Where do I get the detailed procedure to find GCD of 25, 660, 430, 678?
You can find a detailed procedure to find GCD of 25, 660, 430, 678 on our page.
3. How to find GCD of 25, 660, 430, 678 on a calculator?
You can find the GCD of 25, 660, 430, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.