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 254, 167, 65, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 254, 167, 65, 291 is 1
GCD(254, 167, 65, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 254, 167, 65, 291 is 1
GCD(254, 167, 65, 291) = 1
Given Input numbers are 254, 167, 65, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 254, 167, 65, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 167, 65, 291 is 1.
Therefore, GCD of numbers 254, 167, 65, 291 is 1
Given Input Data is 254, 167, 65, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 254 is 2 x 127
Prime Factorization of 167 is 167
Prime Factorization of 65 is 5 x 13
Prime Factorization of 291 is 3 x 97
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(254, 167) = 42418
GCD(254, 167) = ( 254 x 167 ) / 42418
GCD(254, 167) = 42418 / 42418
GCD(254, 167) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 254, 167, 65, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 254, 167, 65, 291?
GCD of 254, 167, 65, 291 is 1
2. Where do I get the detailed procedure to find GCD of 254, 167, 65, 291?
You can find a detailed procedure to find GCD of 254, 167, 65, 291 on our page.
3. How to find GCD of 254, 167, 65, 291 on a calculator?
You can find the GCD of 254, 167, 65, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.