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 118, 189, 675, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 189, 675, 536 is 1
GCD(118, 189, 675, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 189, 675, 536 is 1
GCD(118, 189, 675, 536) = 1
Given Input numbers are 118, 189, 675, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
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 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 118, 189, 675, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 189, 675, 536 is 1.
Therefore, GCD of numbers 118, 189, 675, 536 is 1
Given Input Data is 118, 189, 675, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(118, 189) = 22302
GCD(118, 189) = ( 118 x 189 ) / 22302
GCD(118, 189) = 22302 / 22302
GCD(118, 189) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 118, 189, 675, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 189, 675, 536?
GCD of 118, 189, 675, 536 is 1
2. Where do I get the detailed procedure to find GCD of 118, 189, 675, 536?
You can find a detailed procedure to find GCD of 118, 189, 675, 536 on our page.
3. How to find GCD of 118, 189, 675, 536 on a calculator?
You can find the GCD of 118, 189, 675, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.