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, 187, 36, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 187, 36, 601 is 1
GCD(645, 187, 36, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 187, 36, 601 is 1
GCD(645, 187, 36, 601) = 1
Given Input numbers are 645, 187, 36, 601
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 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 645, 187, 36, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 187, 36, 601 is 1.
Therefore, GCD of numbers 645, 187, 36, 601 is 1
Given Input Data is 645, 187, 36, 601
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 187 is 11 x 17
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 601 is 601
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, 187) = 120615
GCD(645, 187) = ( 645 x 187 ) / 120615
GCD(645, 187) = 120615 / 120615
GCD(645, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 645, 187, 36, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 187, 36, 601?
GCD of 645, 187, 36, 601 is 1
2. Where do I get the detailed procedure to find GCD of 645, 187, 36, 601?
You can find a detailed procedure to find GCD of 645, 187, 36, 601 on our page.
3. How to find GCD of 645, 187, 36, 601 on a calculator?
You can find the GCD of 645, 187, 36, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.