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 375, 115, 678, 278 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 115, 678, 278 is 1
GCD(375, 115, 678, 278) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 115, 678, 278 is 1
GCD(375, 115, 678, 278) = 1
Given Input numbers are 375, 115, 678, 278
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 375, 115, 678, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 115, 678, 278 is 1.
Therefore, GCD of numbers 375, 115, 678, 278 is 1
Given Input Data is 375, 115, 678, 278
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 115 is 5 x 23
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 278 is 2 x 139
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(375, 115) = 8625
GCD(375, 115) = ( 375 x 115 ) / 8625
GCD(375, 115) = 43125 / 8625
GCD(375, 115) = 5
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
GCD of 375, 115, 678, 278 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 115, 678, 278?
GCD of 375, 115, 678, 278 is 1
2. Where do I get the detailed procedure to find GCD of 375, 115, 678, 278?
You can find a detailed procedure to find GCD of 375, 115, 678, 278 on our page.
3. How to find GCD of 375, 115, 678, 278 on a calculator?
You can find the GCD of 375, 115, 678, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.