GCD of 278, 304, 55 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 278, 304, 55 i.e. 1 largest integer that divides all the numbers equally.
GCD of 278, 304, 55 is 1
GCD(278, 304, 55) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 278, 304, 55 is 1
GCD(278, 304, 55) = 1
GCDof 278,304,55 is 1
Given Input numbers are 278, 304, 55
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Greatest Common Divisior
We found the divisors of 278, 304, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 304, 55 is 1.
Therefore, GCD of numbers 278, 304, 55 is 1
Given Input Data is 278, 304, 55
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 278 is 2 x 139
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 55 is 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 278, 304, 55 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(278, 304) = 42256
GCD(278, 304) = ( 278 x 304 ) / 42256
GCD(278, 304) = 84512 / 42256
GCD(278, 304) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 55) = 110
GCD(2, 55) = ( 2 x 55 ) / 110
GCD(2, 55) = 110 / 110
GCD(2, 55) = 1
GCD of 278, 304, 55 is 1
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FAQs on GCD of numbers 278, 304, 55
1. What is the GCD of 278, 304, 55?
GCD of 278, 304, 55 is 1
2. Where do I get the detailed procedure to find GCD of 278, 304, 55?
You can find a detailed procedure to find GCD of 278, 304, 55 on our page.
3. How to find GCD of 278, 304, 55 on a calculator?
You can find the GCD of 278, 304, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
