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 147, 645, 44, 450 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 645, 44, 450 is 1
GCD(147, 645, 44, 450) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 645, 44, 450 is 1
GCD(147, 645, 44, 450) = 1
Given Input numbers are 147, 645, 44, 450
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
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 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Greatest Common Divisior
We found the divisors of 147, 645, 44, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 645, 44, 450 is 1.
Therefore, GCD of numbers 147, 645, 44, 450 is 1
Given Input Data is 147, 645, 44, 450
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
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(147, 645) = 31605
GCD(147, 645) = ( 147 x 645 ) / 31605
GCD(147, 645) = 94815 / 31605
GCD(147, 645) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 44) = 132
GCD(3, 44) = ( 3 x 44 ) / 132
GCD(3, 44) = 132 / 132
GCD(3, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
GCD of 147, 645, 44, 450 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 645, 44, 450?
GCD of 147, 645, 44, 450 is 1
2. Where do I get the detailed procedure to find GCD of 147, 645, 44, 450?
You can find a detailed procedure to find GCD of 147, 645, 44, 450 on our page.
3. How to find GCD of 147, 645, 44, 450 on a calculator?
You can find the GCD of 147, 645, 44, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.