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 294, 168, 55, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 294, 168, 55, 335 is 1
GCD(294, 168, 55, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 294, 168, 55, 335 is 1
GCD(294, 168, 55, 335) = 1
Given Input numbers are 294, 168, 55, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 294, 168, 55, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 168, 55, 335 is 1.
Therefore, GCD of numbers 294, 168, 55, 335 is 1
Given Input Data is 294, 168, 55, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 55 is 5 x 11
Prime Factorization of 335 is 5 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(294, 168) = 1176
GCD(294, 168) = ( 294 x 168 ) / 1176
GCD(294, 168) = 49392 / 1176
GCD(294, 168) = 42
Step2:
Here we consider the GCD from the above i.e. 42 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(42, 55) = 2310
GCD(42, 55) = ( 42 x 55 ) / 2310
GCD(42, 55) = 2310 / 2310
GCD(42, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 294, 168, 55, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 294, 168, 55, 335?
GCD of 294, 168, 55, 335 is 1
2. Where do I get the detailed procedure to find GCD of 294, 168, 55, 335?
You can find a detailed procedure to find GCD of 294, 168, 55, 335 on our page.
3. How to find GCD of 294, 168, 55, 335 on a calculator?
You can find the GCD of 294, 168, 55, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.