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 645, 372, 15, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 372, 15, 536 is 1
GCD(645, 372, 15, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 372, 15, 536 is 1
GCD(645, 372, 15, 536) = 1
Given Input numbers are 645, 372, 15, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 645, 372, 15, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 372, 15, 536 is 1.
Therefore, GCD of numbers 645, 372, 15, 536 is 1
Given Input Data is 645, 372, 15, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 15 is 3 x 5
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(645, 372) = 79980
GCD(645, 372) = ( 645 x 372 ) / 79980
GCD(645, 372) = 239940 / 79980
GCD(645, 372) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 15) = 15
GCD(3, 15) = ( 3 x 15 ) / 15
GCD(3, 15) = 45 / 15
GCD(3, 15) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 536) = 1608
GCD(3, 536) = ( 3 x 536 ) / 1608
GCD(3, 536) = 1608 / 1608
GCD(3, 536) = 1
GCD of 645, 372, 15, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 372, 15, 536?
GCD of 645, 372, 15, 536 is 1
2. Where do I get the detailed procedure to find GCD of 645, 372, 15, 536?
You can find a detailed procedure to find GCD of 645, 372, 15, 536 on our page.
3. How to find GCD of 645, 372, 15, 536 on a calculator?
You can find the GCD of 645, 372, 15, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.