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 450, 620, 95, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 450, 620, 95, 187 is 1
GCD(450, 620, 95, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 620, 95, 187 is 1
GCD(450, 620, 95, 187) = 1
Given Input numbers are 450, 620, 95, 187
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 450, 620, 95, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 620, 95, 187 is 1.
Therefore, GCD of numbers 450, 620, 95, 187 is 1
Given Input Data is 450, 620, 95, 187
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 95 is 5 x 19
Prime Factorization of 187 is 11 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(450, 620) = 27900
GCD(450, 620) = ( 450 x 620 ) / 27900
GCD(450, 620) = 279000 / 27900
GCD(450, 620) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 95) = 190
GCD(10, 95) = ( 10 x 95 ) / 190
GCD(10, 95) = 950 / 190
GCD(10, 95) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 187) = 935
GCD(5, 187) = ( 5 x 187 ) / 935
GCD(5, 187) = 935 / 935
GCD(5, 187) = 1
GCD of 450, 620, 95, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 620, 95, 187?
GCD of 450, 620, 95, 187 is 1
2. Where do I get the detailed procedure to find GCD of 450, 620, 95, 187?
You can find a detailed procedure to find GCD of 450, 620, 95, 187 on our page.
3. How to find GCD of 450, 620, 95, 187 on a calculator?
You can find the GCD of 450, 620, 95, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.