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 460, 773, 674, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 773, 674, 110 is 1
GCD(460, 773, 674, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 773, 674, 110 is 1
GCD(460, 773, 674, 110) = 1
Given Input numbers are 460, 773, 674, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 460, 773, 674, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 773, 674, 110 is 1.
Therefore, GCD of numbers 460, 773, 674, 110 is 1
Given Input Data is 460, 773, 674, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 773 is 773
Prime Factorization of 674 is 2 x 337
Prime Factorization of 110 is 2 x 5 x 11
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(460, 773) = 355580
GCD(460, 773) = ( 460 x 773 ) / 355580
GCD(460, 773) = 355580 / 355580
GCD(460, 773) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 460, 773, 674, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 773, 674, 110?
GCD of 460, 773, 674, 110 is 1
2. Where do I get the detailed procedure to find GCD of 460, 773, 674, 110?
You can find a detailed procedure to find GCD of 460, 773, 674, 110 on our page.
3. How to find GCD of 460, 773, 674, 110 on a calculator?
You can find the GCD of 460, 773, 674, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.