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 678, 767, 75, 236 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 767, 75, 236 is 1
GCD(678, 767, 75, 236) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 767, 75, 236 is 1
GCD(678, 767, 75, 236) = 1
Given Input numbers are 678, 767, 75, 236
To find the GCD of numbers using factoring list out all the divisors of each number
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 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Greatest Common Divisior
We found the divisors of 678, 767, 75, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 767, 75, 236 is 1.
Therefore, GCD of numbers 678, 767, 75, 236 is 1
Given Input Data is 678, 767, 75, 236
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 767 is 13 x 59
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 236 is 2 x 2 x 59
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(678, 767) = 520026
GCD(678, 767) = ( 678 x 767 ) / 520026
GCD(678, 767) = 520026 / 520026
GCD(678, 767) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
GCD of 678, 767, 75, 236 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 767, 75, 236?
GCD of 678, 767, 75, 236 is 1
2. Where do I get the detailed procedure to find GCD of 678, 767, 75, 236?
You can find a detailed procedure to find GCD of 678, 767, 75, 236 on our page.
3. How to find GCD of 678, 767, 75, 236 on a calculator?
You can find the GCD of 678, 767, 75, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.