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 491, 673, 992, 898 i.e. 1 largest integer that divides all the numbers equally.
GCD of 491, 673, 992, 898 is 1
GCD(491, 673, 992, 898) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 491, 673, 992, 898 is 1
GCD(491, 673, 992, 898) = 1
Given Input numbers are 491, 673, 992, 898
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Greatest Common Divisior
We found the divisors of 491, 673, 992, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 673, 992, 898 is 1.
Therefore, GCD of numbers 491, 673, 992, 898 is 1
Given Input Data is 491, 673, 992, 898
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 491 is 491
Prime Factorization of 673 is 673
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 898 is 2 x 449
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(491, 673) = 330443
GCD(491, 673) = ( 491 x 673 ) / 330443
GCD(491, 673) = 330443 / 330443
GCD(491, 673) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 992
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
GCD(1, 992) = 992 / 992
GCD(1, 992) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 898
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
GCD(1, 898) = 898 / 898
GCD(1, 898) = 1
GCD of 491, 673, 992, 898 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 491, 673, 992, 898?
GCD of 491, 673, 992, 898 is 1
2. Where do I get the detailed procedure to find GCD of 491, 673, 992, 898?
You can find a detailed procedure to find GCD of 491, 673, 992, 898 on our page.
3. How to find GCD of 491, 673, 992, 898 on a calculator?
You can find the GCD of 491, 673, 992, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.