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, 380, 42, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 450, 380, 42, 675 is 1
GCD(450, 380, 42, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 380, 42, 675 is 1
GCD(450, 380, 42, 675) = 1
Given Input numbers are 450, 380, 42, 675
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 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 450, 380, 42, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 380, 42, 675 is 1.
Therefore, GCD of numbers 450, 380, 42, 675 is 1
Given Input Data is 450, 380, 42, 675
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 380 is 2 x 2 x 5 x 19
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 675 is 3 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(450, 380) = 17100
GCD(450, 380) = ( 450 x 380 ) / 17100
GCD(450, 380) = 171000 / 17100
GCD(450, 380) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 42) = 210
GCD(10, 42) = ( 10 x 42 ) / 210
GCD(10, 42) = 420 / 210
GCD(10, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 675) = 1350
GCD(2, 675) = ( 2 x 675 ) / 1350
GCD(2, 675) = 1350 / 1350
GCD(2, 675) = 1
GCD of 450, 380, 42, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 380, 42, 675?
GCD of 450, 380, 42, 675 is 1
2. Where do I get the detailed procedure to find GCD of 450, 380, 42, 675?
You can find a detailed procedure to find GCD of 450, 380, 42, 675 on our page.
3. How to find GCD of 450, 380, 42, 675 on a calculator?
You can find the GCD of 450, 380, 42, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.