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 110, 277, 39, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 277, 39, 465 is 1
GCD(110, 277, 39, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 277, 39, 465 is 1
GCD(110, 277, 39, 465) = 1
Given Input numbers are 110, 277, 39, 465
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 110, 277, 39, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 277, 39, 465 is 1.
Therefore, GCD of numbers 110, 277, 39, 465 is 1
Given Input Data is 110, 277, 39, 465
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 277 is 277
Prime Factorization of 39 is 3 x 13
Prime Factorization of 465 is 3 x 5 x 31
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(110, 277) = 30470
GCD(110, 277) = ( 110 x 277 ) / 30470
GCD(110, 277) = 30470 / 30470
GCD(110, 277) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
GCD(1, 465) = 465 / 465
GCD(1, 465) = 1
GCD of 110, 277, 39, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 277, 39, 465?
GCD of 110, 277, 39, 465 is 1
2. Where do I get the detailed procedure to find GCD of 110, 277, 39, 465?
You can find a detailed procedure to find GCD of 110, 277, 39, 465 on our page.
3. How to find GCD of 110, 277, 39, 465 on a calculator?
You can find the GCD of 110, 277, 39, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.