GCD of 138, 675, 197 Calculator
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 138, 675, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 138, 675, 197 is 1
GCD(138, 675, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 675, 197 is 1
GCD(138, 675, 197) = 1
GCDof 138,675,197 is 1
Given Input numbers are 138, 675, 197
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
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 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Greatest Common Divisior
We found the divisors of 138, 675, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 675, 197 is 1.
Therefore, GCD of numbers 138, 675, 197 is 1
Given Input Data is 138, 675, 197
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 197 is 197
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 138, 675, 197 using LCM Formula
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(138, 675) = 31050
GCD(138, 675) = ( 138 x 675 ) / 31050
GCD(138, 675) = 93150 / 31050
GCD(138, 675) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 197) = 591
GCD(3, 197) = ( 3 x 197 ) / 591
GCD(3, 197) = 591 / 591
GCD(3, 197) = 1
GCD of 138, 675, 197 is 1
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FAQs on GCD of numbers 138, 675, 197
1. What is the GCD of 138, 675, 197?
GCD of 138, 675, 197 is 1
2. Where do I get the detailed procedure to find GCD of 138, 675, 197?
You can find a detailed procedure to find GCD of 138, 675, 197 on our page.
3. How to find GCD of 138, 675, 197 on a calculator?
You can find the GCD of 138, 675, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.