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 880, 986, 18, 277 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 986, 18, 277 is 1
GCD(880, 986, 18, 277) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 986, 18, 277 is 1
GCD(880, 986, 18, 277) = 1
Given Input numbers are 880, 986, 18, 277
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Greatest Common Divisior
We found the divisors of 880, 986, 18, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 986, 18, 277 is 1.
Therefore, GCD of numbers 880, 986, 18, 277 is 1
Given Input Data is 880, 986, 18, 277
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 277 is 277
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(880, 986) = 433840
GCD(880, 986) = ( 880 x 986 ) / 433840
GCD(880, 986) = 867680 / 433840
GCD(880, 986) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 277) = 554
GCD(2, 277) = ( 2 x 277 ) / 554
GCD(2, 277) = 554 / 554
GCD(2, 277) = 1
GCD of 880, 986, 18, 277 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 986, 18, 277?
GCD of 880, 986, 18, 277 is 1
2. Where do I get the detailed procedure to find GCD of 880, 986, 18, 277?
You can find a detailed procedure to find GCD of 880, 986, 18, 277 on our page.
3. How to find GCD of 880, 986, 18, 277 on a calculator?
You can find the GCD of 880, 986, 18, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.