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 68, 704, 743, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 704, 743, 626 is 1
GCD(68, 704, 743, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 704, 743, 626 is 1
GCD(68, 704, 743, 626) = 1
Given Input numbers are 68, 704, 743, 626
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
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
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 68, 704, 743, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 704, 743, 626 is 1.
Therefore, GCD of numbers 68, 704, 743, 626 is 1
Given Input Data is 68, 704, 743, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 743 is 743
Prime Factorization of 626 is 2 x 313
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(68, 704) = 11968
GCD(68, 704) = ( 68 x 704 ) / 11968
GCD(68, 704) = 47872 / 11968
GCD(68, 704) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 743) = 2972
GCD(4, 743) = ( 4 x 743 ) / 2972
GCD(4, 743) = 2972 / 2972
GCD(4, 743) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 626) = 626
GCD(1, 626) = ( 1 x 626 ) / 626
GCD(1, 626) = 626 / 626
GCD(1, 626) = 1
GCD of 68, 704, 743, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 704, 743, 626?
GCD of 68, 704, 743, 626 is 1
2. Where do I get the detailed procedure to find GCD of 68, 704, 743, 626?
You can find a detailed procedure to find GCD of 68, 704, 743, 626 on our page.
3. How to find GCD of 68, 704, 743, 626 on a calculator?
You can find the GCD of 68, 704, 743, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.