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, 731, 446, 158 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 731, 446, 158 is 1
GCD(645, 731, 446, 158) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 731, 446, 158 is 1
GCD(645, 731, 446, 158) = 1
Given Input numbers are 645, 731, 446, 158
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 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Greatest Common Divisior
We found the divisors of 645, 731, 446, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 731, 446, 158 is 1.
Therefore, GCD of numbers 645, 731, 446, 158 is 1
Given Input Data is 645, 731, 446, 158
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 731 is 17 x 43
Prime Factorization of 446 is 2 x 223
Prime Factorization of 158 is 2 x 79
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, 731) = 10965
GCD(645, 731) = ( 645 x 731 ) / 10965
GCD(645, 731) = 471495 / 10965
GCD(645, 731) = 43
Step2:
Here we consider the GCD from the above i.e. 43 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(43, 446) = 19178
GCD(43, 446) = ( 43 x 446 ) / 19178
GCD(43, 446) = 19178 / 19178
GCD(43, 446) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 158) = 158
GCD(1, 158) = ( 1 x 158 ) / 158
GCD(1, 158) = 158 / 158
GCD(1, 158) = 1
GCD of 645, 731, 446, 158 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 731, 446, 158?
GCD of 645, 731, 446, 158 is 1
2. Where do I get the detailed procedure to find GCD of 645, 731, 446, 158?
You can find a detailed procedure to find GCD of 645, 731, 446, 158 on our page.
3. How to find GCD of 645, 731, 446, 158 on a calculator?
You can find the GCD of 645, 731, 446, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.