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, 567, 883, 888 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 567, 883, 888 is 1
GCD(678, 567, 883, 888) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 567, 883, 888 is 1
GCD(678, 567, 883, 888) = 1
Given Input numbers are 678, 567, 883, 888
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 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Greatest Common Divisior
We found the divisors of 678, 567, 883, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 567, 883, 888 is 1.
Therefore, GCD of numbers 678, 567, 883, 888 is 1
Given Input Data is 678, 567, 883, 888
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 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 883 is 883
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
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, 567) = 128142
GCD(678, 567) = ( 678 x 567 ) / 128142
GCD(678, 567) = 384426 / 128142
GCD(678, 567) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 883) = 2649
GCD(3, 883) = ( 3 x 883 ) / 2649
GCD(3, 883) = 2649 / 2649
GCD(3, 883) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 888
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 888) = 888
GCD(1, 888) = ( 1 x 888 ) / 888
GCD(1, 888) = 888 / 888
GCD(1, 888) = 1
GCD of 678, 567, 883, 888 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 567, 883, 888?
GCD of 678, 567, 883, 888 is 1
2. Where do I get the detailed procedure to find GCD of 678, 567, 883, 888?
You can find a detailed procedure to find GCD of 678, 567, 883, 888 on our page.
3. How to find GCD of 678, 567, 883, 888 on a calculator?
You can find the GCD of 678, 567, 883, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.