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 492, 583, 967 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 583, 967 is 1
GCD(492, 583, 967) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 583, 967 is 1
GCD(492, 583, 967) = 1
Given Input numbers are 492, 583, 967
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Greatest Common Divisior
We found the divisors of 492, 583, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 583, 967 is 1.
Therefore, GCD of numbers 492, 583, 967 is 1
Given Input Data is 492, 583, 967
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 583 is 11 x 53
Prime Factorization of 967 is 967
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(492, 583) = 286836
GCD(492, 583) = ( 492 x 583 ) / 286836
GCD(492, 583) = 286836 / 286836
GCD(492, 583) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
GCD(1, 967) = 967 / 967
GCD(1, 967) = 1
GCD of 492, 583, 967 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 583, 967?
GCD of 492, 583, 967 is 1
2. Where do I get the detailed procedure to find GCD of 492, 583, 967?
You can find a detailed procedure to find GCD of 492, 583, 967 on our page.
3. How to find GCD of 492, 583, 967 on a calculator?
You can find the GCD of 492, 583, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.