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 63, 170, 954, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 170, 954, 949 is 1
GCD(63, 170, 954, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 170, 954, 949 is 1
GCD(63, 170, 954, 949) = 1
Given Input numbers are 63, 170, 954, 949
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
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 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 63, 170, 954, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 170, 954, 949 is 1.
Therefore, GCD of numbers 63, 170, 954, 949 is 1
Given Input Data is 63, 170, 954, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 949 is 13 x 73
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(63, 170) = 10710
GCD(63, 170) = ( 63 x 170 ) / 10710
GCD(63, 170) = 10710 / 10710
GCD(63, 170) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 954) = 954
GCD(1, 954) = ( 1 x 954 ) / 954
GCD(1, 954) = 954 / 954
GCD(1, 954) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
GCD of 63, 170, 954, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 170, 954, 949?
GCD of 63, 170, 954, 949 is 1
2. Where do I get the detailed procedure to find GCD of 63, 170, 954, 949?
You can find a detailed procedure to find GCD of 63, 170, 954, 949 on our page.
3. How to find GCD of 63, 170, 954, 949 on a calculator?
You can find the GCD of 63, 170, 954, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.