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 946, 969, 30 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 969, 30 is 1
GCD(946, 969, 30) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 969, 30 is 1
GCD(946, 969, 30) = 1
Given Input numbers are 946, 969, 30
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Greatest Common Divisior
We found the divisors of 946, 969, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 969, 30 is 1.
Therefore, GCD of numbers 946, 969, 30 is 1
Given Input Data is 946, 969, 30
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 30 is 2 x 3 x 5
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(946, 969) = 916674
GCD(946, 969) = ( 946 x 969 ) / 916674
GCD(946, 969) = 916674 / 916674
GCD(946, 969) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
GCD of 946, 969, 30 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 969, 30?
GCD of 946, 969, 30 is 1
2. Where do I get the detailed procedure to find GCD of 946, 969, 30?
You can find a detailed procedure to find GCD of 946, 969, 30 on our page.
3. How to find GCD of 946, 969, 30 on a calculator?
You can find the GCD of 946, 969, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.