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, 299, 428, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 299, 428, 964 is 1
GCD(982, 299, 428, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 299, 428, 964 is 1
GCD(982, 299, 428, 964) = 1
Given Input numbers are 982, 299, 428, 964
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 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 982, 299, 428, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 299, 428, 964 is 1.
Therefore, GCD of numbers 982, 299, 428, 964 is 1
Given Input Data is 982, 299, 428, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 299 is 13 x 23
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 964 is 2 x 2 x 241
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, 299) = 293618
GCD(982, 299) = ( 982 x 299 ) / 293618
GCD(982, 299) = 293618 / 293618
GCD(982, 299) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 982, 299, 428, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 299, 428, 964?
GCD of 982, 299, 428, 964 is 1
2. Where do I get the detailed procedure to find GCD of 982, 299, 428, 964?
You can find a detailed procedure to find GCD of 982, 299, 428, 964 on our page.
3. How to find GCD of 982, 299, 428, 964 on a calculator?
You can find the GCD of 982, 299, 428, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.