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 55, 276, 362, 444 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 276, 362, 444 is 1
GCD(55, 276, 362, 444) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 276, 362, 444 is 1
GCD(55, 276, 362, 444) = 1
Given Input numbers are 55, 276, 362, 444
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Greatest Common Divisior
We found the divisors of 55, 276, 362, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 276, 362, 444 is 1.
Therefore, GCD of numbers 55, 276, 362, 444 is 1
Given Input Data is 55, 276, 362, 444
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 362 is 2 x 181
Prime Factorization of 444 is 2 x 2 x 3 x 37
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(55, 276) = 15180
GCD(55, 276) = ( 55 x 276 ) / 15180
GCD(55, 276) = 15180 / 15180
GCD(55, 276) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
GCD(1, 362) = 362 / 362
GCD(1, 362) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 444) = 444
GCD(1, 444) = ( 1 x 444 ) / 444
GCD(1, 444) = 444 / 444
GCD(1, 444) = 1
GCD of 55, 276, 362, 444 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 276, 362, 444?
GCD of 55, 276, 362, 444 is 1
2. Where do I get the detailed procedure to find GCD of 55, 276, 362, 444?
You can find a detailed procedure to find GCD of 55, 276, 362, 444 on our page.
3. How to find GCD of 55, 276, 362, 444 on a calculator?
You can find the GCD of 55, 276, 362, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.