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, 351, 74, 963 i.e. 1 largest integer that divides all the numbers equally.
GCD of 491, 351, 74, 963 is 1
GCD(491, 351, 74, 963) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 491, 351, 74, 963 is 1
GCD(491, 351, 74, 963) = 1
Given Input numbers are 491, 351, 74, 963
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 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Greatest Common Divisior
We found the divisors of 491, 351, 74, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 351, 74, 963 is 1.
Therefore, GCD of numbers 491, 351, 74, 963 is 1
Given Input Data is 491, 351, 74, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 491 is 491
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 74 is 2 x 37
Prime Factorization of 963 is 3 x 3 x 107
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, 351) = 172341
GCD(491, 351) = ( 491 x 351 ) / 172341
GCD(491, 351) = 172341 / 172341
GCD(491, 351) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
GCD of 491, 351, 74, 963 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 491, 351, 74, 963?
GCD of 491, 351, 74, 963 is 1
2. Where do I get the detailed procedure to find GCD of 491, 351, 74, 963?
You can find a detailed procedure to find GCD of 491, 351, 74, 963 on our page.
3. How to find GCD of 491, 351, 74, 963 on a calculator?
You can find the GCD of 491, 351, 74, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.