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 643, 734, 39, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 643, 734, 39, 168 is 1
GCD(643, 734, 39, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 643, 734, 39, 168 is 1
GCD(643, 734, 39, 168) = 1
Given Input numbers are 643, 734, 39, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 643, 734, 39, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 734, 39, 168 is 1.
Therefore, GCD of numbers 643, 734, 39, 168 is 1
Given Input Data is 643, 734, 39, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 643 is 643
Prime Factorization of 734 is 2 x 367
Prime Factorization of 39 is 3 x 13
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
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(643, 734) = 471962
GCD(643, 734) = ( 643 x 734 ) / 471962
GCD(643, 734) = 471962 / 471962
GCD(643, 734) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 643, 734, 39, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 643, 734, 39, 168?
GCD of 643, 734, 39, 168 is 1
2. Where do I get the detailed procedure to find GCD of 643, 734, 39, 168?
You can find a detailed procedure to find GCD of 643, 734, 39, 168 on our page.
3. How to find GCD of 643, 734, 39, 168 on a calculator?
You can find the GCD of 643, 734, 39, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.