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 982, 484, 74, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 484, 74, 467 is 1
GCD(982, 484, 74, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 484, 74, 467 is 1
GCD(982, 484, 74, 467) = 1
Given Input numbers are 982, 484, 74, 467
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 982, 484, 74, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 484, 74, 467 is 1.
Therefore, GCD of numbers 982, 484, 74, 467 is 1
Given Input Data is 982, 484, 74, 467
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 74 is 2 x 37
Prime Factorization of 467 is 467
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(982, 484) = 237644
GCD(982, 484) = ( 982 x 484 ) / 237644
GCD(982, 484) = 475288 / 237644
GCD(982, 484) = 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
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 467) = 934
GCD(2, 467) = ( 2 x 467 ) / 934
GCD(2, 467) = 934 / 934
GCD(2, 467) = 1
GCD of 982, 484, 74, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 484, 74, 467?
GCD of 982, 484, 74, 467 is 1
2. Where do I get the detailed procedure to find GCD of 982, 484, 74, 467?
You can find a detailed procedure to find GCD of 982, 484, 74, 467 on our page.
3. How to find GCD of 982, 484, 74, 467 on a calculator?
You can find the GCD of 982, 484, 74, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.