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 999, 950, 64, 407 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 950, 64, 407 is 1
GCD(999, 950, 64, 407) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 950, 64, 407 is 1
GCD(999, 950, 64, 407) = 1
Given Input numbers are 999, 950, 64, 407
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Greatest Common Divisior
We found the divisors of 999, 950, 64, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 950, 64, 407 is 1.
Therefore, GCD of numbers 999, 950, 64, 407 is 1
Given Input Data is 999, 950, 64, 407
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 407 is 11 x 37
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(999, 950) = 949050
GCD(999, 950) = ( 999 x 950 ) / 949050
GCD(999, 950) = 949050 / 949050
GCD(999, 950) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 407) = 407
GCD(1, 407) = ( 1 x 407 ) / 407
GCD(1, 407) = 407 / 407
GCD(1, 407) = 1
GCD of 999, 950, 64, 407 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 950, 64, 407?
GCD of 999, 950, 64, 407 is 1
2. Where do I get the detailed procedure to find GCD of 999, 950, 64, 407?
You can find a detailed procedure to find GCD of 999, 950, 64, 407 on our page.
3. How to find GCD of 999, 950, 64, 407 on a calculator?
You can find the GCD of 999, 950, 64, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.