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, 648, 83, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 648, 83, 153 is 1
GCD(645, 648, 83, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 648, 83, 153 is 1
GCD(645, 648, 83, 153) = 1
Given Input numbers are 645, 648, 83, 153
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 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 645, 648, 83, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 648, 83, 153 is 1.
Therefore, GCD of numbers 645, 648, 83, 153 is 1
Given Input Data is 645, 648, 83, 153
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 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 83 is 83
Prime Factorization of 153 is 3 x 3 x 17
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, 648) = 139320
GCD(645, 648) = ( 645 x 648 ) / 139320
GCD(645, 648) = 417960 / 139320
GCD(645, 648) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 83) = 249
GCD(3, 83) = ( 3 x 83 ) / 249
GCD(3, 83) = 249 / 249
GCD(3, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 645, 648, 83, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 648, 83, 153?
GCD of 645, 648, 83, 153 is 1
2. Where do I get the detailed procedure to find GCD of 645, 648, 83, 153?
You can find a detailed procedure to find GCD of 645, 648, 83, 153 on our page.
3. How to find GCD of 645, 648, 83, 153 on a calculator?
You can find the GCD of 645, 648, 83, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.