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 190, 549, 67, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 190, 549, 67, 675 is 1
GCD(190, 549, 67, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 190, 549, 67, 675 is 1
GCD(190, 549, 67, 675) = 1
Given Input numbers are 190, 549, 67, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
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 190, 549, 67, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 549, 67, 675 is 1.
Therefore, GCD of numbers 190, 549, 67, 675 is 1
Given Input Data is 190, 549, 67, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 67 is 67
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(190, 549) = 104310
GCD(190, 549) = ( 190 x 549 ) / 104310
GCD(190, 549) = 104310 / 104310
GCD(190, 549) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 190, 549, 67, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 190, 549, 67, 675?
GCD of 190, 549, 67, 675 is 1
2. Where do I get the detailed procedure to find GCD of 190, 549, 67, 675?
You can find a detailed procedure to find GCD of 190, 549, 67, 675 on our page.
3. How to find GCD of 190, 549, 67, 675 on a calculator?
You can find the GCD of 190, 549, 67, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.