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 170, 966, 46, 479 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 966, 46, 479 is 1
GCD(170, 966, 46, 479) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 966, 46, 479 is 1
GCD(170, 966, 46, 479) = 1
Given Input numbers are 170, 966, 46, 479
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
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
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 479
List of positive integer divisors of 479 that divides 479 without a remainder.
1, 479
Greatest Common Divisior
We found the divisors of 170, 966, 46, 479 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 966, 46, 479 is 1.
Therefore, GCD of numbers 170, 966, 46, 479 is 1
Given Input Data is 170, 966, 46, 479
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 46 is 2 x 23
Prime Factorization of 479 is 479
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(170, 966) = 82110
GCD(170, 966) = ( 170 x 966 ) / 82110
GCD(170, 966) = 164220 / 82110
GCD(170, 966) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 46) = 46
GCD(2, 46) = ( 2 x 46 ) / 46
GCD(2, 46) = 92 / 46
GCD(2, 46) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 479
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 479) = 958
GCD(2, 479) = ( 2 x 479 ) / 958
GCD(2, 479) = 958 / 958
GCD(2, 479) = 1
GCD of 170, 966, 46, 479 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 966, 46, 479?
GCD of 170, 966, 46, 479 is 1
2. Where do I get the detailed procedure to find GCD of 170, 966, 46, 479?
You can find a detailed procedure to find GCD of 170, 966, 46, 479 on our page.
3. How to find GCD of 170, 966, 46, 479 on a calculator?
You can find the GCD of 170, 966, 46, 479 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.