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, 748, 58, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 748, 58, 817 is 1
GCD(678, 748, 58, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 748, 58, 817 is 1
GCD(678, 748, 58, 817) = 1
Given Input numbers are 678, 748, 58, 817
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 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 678, 748, 58, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 748, 58, 817 is 1.
Therefore, GCD of numbers 678, 748, 58, 817 is 1
Given Input Data is 678, 748, 58, 817
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 748 is 2 x 2 x 11 x 17
Prime Factorization of 58 is 2 x 29
Prime Factorization of 817 is 19 x 43
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, 748) = 253572
GCD(678, 748) = ( 678 x 748 ) / 253572
GCD(678, 748) = 507144 / 253572
GCD(678, 748) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 58) = 58
GCD(2, 58) = ( 2 x 58 ) / 58
GCD(2, 58) = 116 / 58
GCD(2, 58) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 817) = 1634
GCD(2, 817) = ( 2 x 817 ) / 1634
GCD(2, 817) = 1634 / 1634
GCD(2, 817) = 1
GCD of 678, 748, 58, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 748, 58, 817?
GCD of 678, 748, 58, 817 is 1
2. Where do I get the detailed procedure to find GCD of 678, 748, 58, 817?
You can find a detailed procedure to find GCD of 678, 748, 58, 817 on our page.
3. How to find GCD of 678, 748, 58, 817 on a calculator?
You can find the GCD of 678, 748, 58, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.