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 738, 652, 619 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 652, 619 is 1
GCD(738, 652, 619) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 652, 619 is 1
GCD(738, 652, 619) = 1
Given Input numbers are 738, 652, 619
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 619
List of positive integer divisors of 619 that divides 619 without a remainder.
1, 619
Greatest Common Divisior
We found the divisors of 738, 652, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 652, 619 is 1.
Therefore, GCD of numbers 738, 652, 619 is 1
Given Input Data is 738, 652, 619
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 619 is 619
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(738, 652) = 240588
GCD(738, 652) = ( 738 x 652 ) / 240588
GCD(738, 652) = 481176 / 240588
GCD(738, 652) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 619
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 619) = 1238
GCD(2, 619) = ( 2 x 619 ) / 1238
GCD(2, 619) = 1238 / 1238
GCD(2, 619) = 1
GCD of 738, 652, 619 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 652, 619?
GCD of 738, 652, 619 is 1
2. Where do I get the detailed procedure to find GCD of 738, 652, 619?
You can find a detailed procedure to find GCD of 738, 652, 619 on our page.
3. How to find GCD of 738, 652, 619 on a calculator?
You can find the GCD of 738, 652, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.