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 178, 371, 24, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 178, 371, 24, 261 is 1
GCD(178, 371, 24, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 178, 371, 24, 261 is 1
GCD(178, 371, 24, 261) = 1
Given Input numbers are 178, 371, 24, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 178, 371, 24, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 371, 24, 261 is 1.
Therefore, GCD of numbers 178, 371, 24, 261 is 1
Given Input Data is 178, 371, 24, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 178 is 2 x 89
Prime Factorization of 371 is 7 x 53
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 261 is 3 x 3 x 29
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(178, 371) = 66038
GCD(178, 371) = ( 178 x 371 ) / 66038
GCD(178, 371) = 66038 / 66038
GCD(178, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 178, 371, 24, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 178, 371, 24, 261?
GCD of 178, 371, 24, 261 is 1
2. Where do I get the detailed procedure to find GCD of 178, 371, 24, 261?
You can find a detailed procedure to find GCD of 178, 371, 24, 261 on our page.
3. How to find GCD of 178, 371, 24, 261 on a calculator?
You can find the GCD of 178, 371, 24, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.