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, 977, 446, 860 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 977, 446, 860 is 1
GCD(110, 977, 446, 860) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 977, 446, 860 is 1
GCD(110, 977, 446, 860) = 1
Given Input numbers are 110, 977, 446, 860
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 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Greatest Common Divisior
We found the divisors of 110, 977, 446, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 977, 446, 860 is 1.
Therefore, GCD of numbers 110, 977, 446, 860 is 1
Given Input Data is 110, 977, 446, 860
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 977 is 977
Prime Factorization of 446 is 2 x 223
Prime Factorization of 860 is 2 x 2 x 5 x 43
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, 977) = 107470
GCD(110, 977) = ( 110 x 977 ) / 107470
GCD(110, 977) = 107470 / 107470
GCD(110, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
GCD of 110, 977, 446, 860 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 977, 446, 860?
GCD of 110, 977, 446, 860 is 1
2. Where do I get the detailed procedure to find GCD of 110, 977, 446, 860?
You can find a detailed procedure to find GCD of 110, 977, 446, 860 on our page.
3. How to find GCD of 110, 977, 446, 860 on a calculator?
You can find the GCD of 110, 977, 446, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.