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 315, 678, 643, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 678, 643, 739 is 1
GCD(315, 678, 643, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 678, 643, 739 is 1
GCD(315, 678, 643, 739) = 1
Given Input numbers are 315, 678, 643, 739
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
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 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 315, 678, 643, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 678, 643, 739 is 1.
Therefore, GCD of numbers 315, 678, 643, 739 is 1
Given Input Data is 315, 678, 643, 739
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 643 is 643
Prime Factorization of 739 is 739
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(315, 678) = 71190
GCD(315, 678) = ( 315 x 678 ) / 71190
GCD(315, 678) = 213570 / 71190
GCD(315, 678) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 643) = 1929
GCD(3, 643) = ( 3 x 643 ) / 1929
GCD(3, 643) = 1929 / 1929
GCD(3, 643) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 739) = 739
GCD(1, 739) = ( 1 x 739 ) / 739
GCD(1, 739) = 739 / 739
GCD(1, 739) = 1
GCD of 315, 678, 643, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 678, 643, 739?
GCD of 315, 678, 643, 739 is 1
2. Where do I get the detailed procedure to find GCD of 315, 678, 643, 739?
You can find a detailed procedure to find GCD of 315, 678, 643, 739 on our page.
3. How to find GCD of 315, 678, 643, 739 on a calculator?
You can find the GCD of 315, 678, 643, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.