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, 982, 20, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 982, 20, 275 is 1
GCD(645, 982, 20, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 982, 20, 275 is 1
GCD(645, 982, 20, 275) = 1
Given Input numbers are 645, 982, 20, 275
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 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 645, 982, 20, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 982, 20, 275 is 1.
Therefore, GCD of numbers 645, 982, 20, 275 is 1
Given Input Data is 645, 982, 20, 275
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 982 is 2 x 491
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 275 is 5 x 5 x 11
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, 982) = 633390
GCD(645, 982) = ( 645 x 982 ) / 633390
GCD(645, 982) = 633390 / 633390
GCD(645, 982) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
GCD(1, 275) = 275 / 275
GCD(1, 275) = 1
GCD of 645, 982, 20, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 982, 20, 275?
GCD of 645, 982, 20, 275 is 1
2. Where do I get the detailed procedure to find GCD of 645, 982, 20, 275?
You can find a detailed procedure to find GCD of 645, 982, 20, 275 on our page.
3. How to find GCD of 645, 982, 20, 275 on a calculator?
You can find the GCD of 645, 982, 20, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.