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, 934, 773, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 934, 773, 704 is 1
GCD(678, 934, 773, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 934, 773, 704 is 1
GCD(678, 934, 773, 704) = 1
Given Input numbers are 678, 934, 773, 704
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 934
List of positive integer divisors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 678, 934, 773, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 934, 773, 704 is 1.
Therefore, GCD of numbers 678, 934, 773, 704 is 1
Given Input Data is 678, 934, 773, 704
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 934 is 2 x 467
Prime Factorization of 773 is 773
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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, 934) = 316626
GCD(678, 934) = ( 678 x 934 ) / 316626
GCD(678, 934) = 633252 / 316626
GCD(678, 934) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 773
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 773) = 1546
GCD(2, 773) = ( 2 x 773 ) / 1546
GCD(2, 773) = 1546 / 1546
GCD(2, 773) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 678, 934, 773, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 934, 773, 704?
GCD of 678, 934, 773, 704 is 1
2. Where do I get the detailed procedure to find GCD of 678, 934, 773, 704?
You can find a detailed procedure to find GCD of 678, 934, 773, 704 on our page.
3. How to find GCD of 678, 934, 773, 704 on a calculator?
You can find the GCD of 678, 934, 773, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.