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 675, 372, 75, 619 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 372, 75, 619 is 1
GCD(675, 372, 75, 619) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 372, 75, 619 is 1
GCD(675, 372, 75, 619) = 1
Given Input numbers are 675, 372, 75, 619
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 619
List of positive integer divisors of 619 that divides 619 without a remainder.
1, 619
Greatest Common Divisior
We found the divisors of 675, 372, 75, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 372, 75, 619 is 1.
Therefore, GCD of numbers 675, 372, 75, 619 is 1
Given Input Data is 675, 372, 75, 619
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 619 is 619
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(675, 372) = 83700
GCD(675, 372) = ( 675 x 372 ) / 83700
GCD(675, 372) = 251100 / 83700
GCD(675, 372) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 75) = 75
GCD(3, 75) = ( 3 x 75 ) / 75
GCD(3, 75) = 225 / 75
GCD(3, 75) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 619
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 619) = 1857
GCD(3, 619) = ( 3 x 619 ) / 1857
GCD(3, 619) = 1857 / 1857
GCD(3, 619) = 1
GCD of 675, 372, 75, 619 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 372, 75, 619?
GCD of 675, 372, 75, 619 is 1
2. Where do I get the detailed procedure to find GCD of 675, 372, 75, 619?
You can find a detailed procedure to find GCD of 675, 372, 75, 619 on our page.
3. How to find GCD of 675, 372, 75, 619 on a calculator?
You can find the GCD of 675, 372, 75, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.