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 478, 986, 74 i.e. 2 largest integer that divides all the numbers equally.
GCD of 478, 986, 74 is 2
GCD(478, 986, 74) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 986, 74 is 2
GCD(478, 986, 74) = 2
Given Input numbers are 478, 986, 74
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
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 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Greatest Common Divisior
We found the divisors of 478, 986, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 986, 74 is 2.
Therefore, GCD of numbers 478, 986, 74 is 2
Given Input Data is 478, 986, 74
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 74 is 2 x 37
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(478, 986) = 235654
GCD(478, 986) = ( 478 x 986 ) / 235654
GCD(478, 986) = 471308 / 235654
GCD(478, 986) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 74) = 74
GCD(2, 74) = ( 2 x 74 ) / 74
GCD(2, 74) = 148 / 74
GCD(2, 74) = 2
GCD of 478, 986, 74 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 986, 74?
GCD of 478, 986, 74 is 2
2. Where do I get the detailed procedure to find GCD of 478, 986, 74?
You can find a detailed procedure to find GCD of 478, 986, 74 on our page.
3. How to find GCD of 478, 986, 74 on a calculator?
You can find the GCD of 478, 986, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.