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 315, 498, 35, 966 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 498, 35, 966 is 1
GCD(315, 498, 35, 966) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 498, 35, 966 is 1
GCD(315, 498, 35, 966) = 1
Given Input numbers are 315, 498, 35, 966
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Greatest Common Divisior
We found the divisors of 315, 498, 35, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 498, 35, 966 is 1.
Therefore, GCD of numbers 315, 498, 35, 966 is 1
Given Input Data is 315, 498, 35, 966
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 35 is 5 x 7
Prime Factorization of 966 is 2 x 3 x 7 x 23
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(315, 498) = 52290
GCD(315, 498) = ( 315 x 498 ) / 52290
GCD(315, 498) = 156870 / 52290
GCD(315, 498) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 35) = 105
GCD(3, 35) = ( 3 x 35 ) / 105
GCD(3, 35) = 105 / 105
GCD(3, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
GCD(1, 966) = 966 / 966
GCD(1, 966) = 1
GCD of 315, 498, 35, 966 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 498, 35, 966?
GCD of 315, 498, 35, 966 is 1
2. Where do I get the detailed procedure to find GCD of 315, 498, 35, 966?
You can find a detailed procedure to find GCD of 315, 498, 35, 966 on our page.
3. How to find GCD of 315, 498, 35, 966 on a calculator?
You can find the GCD of 315, 498, 35, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.