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 275, 247, 20, 189 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 247, 20, 189 is 1
GCD(275, 247, 20, 189) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 247, 20, 189 is 1
GCD(275, 247, 20, 189) = 1
Given Input numbers are 275, 247, 20, 189
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Greatest Common Divisior
We found the divisors of 275, 247, 20, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 247, 20, 189 is 1.
Therefore, GCD of numbers 275, 247, 20, 189 is 1
Given Input Data is 275, 247, 20, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 247 is 13 x 19
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 189 is 3 x 3 x 3 x 7
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(275, 247) = 67925
GCD(275, 247) = ( 275 x 247 ) / 67925
GCD(275, 247) = 67925 / 67925
GCD(275, 247) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
GCD of 275, 247, 20, 189 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 247, 20, 189?
GCD of 275, 247, 20, 189 is 1
2. Where do I get the detailed procedure to find GCD of 275, 247, 20, 189?
You can find a detailed procedure to find GCD of 275, 247, 20, 189 on our page.
3. How to find GCD of 275, 247, 20, 189 on a calculator?
You can find the GCD of 275, 247, 20, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.