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 600, 168, 944, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 168, 944, 301 is 1
GCD(600, 168, 944, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 168, 944, 301 is 1
GCD(600, 168, 944, 301) = 1
Given Input numbers are 600, 168, 944, 301
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 600, 168, 944, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 168, 944, 301 is 1.
Therefore, GCD of numbers 600, 168, 944, 301 is 1
Given Input Data is 600, 168, 944, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 301 is 7 x 43
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(600, 168) = 4200
GCD(600, 168) = ( 600 x 168 ) / 4200
GCD(600, 168) = 100800 / 4200
GCD(600, 168) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 944) = 2832
GCD(24, 944) = ( 24 x 944 ) / 2832
GCD(24, 944) = 22656 / 2832
GCD(24, 944) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 301) = 2408
GCD(8, 301) = ( 8 x 301 ) / 2408
GCD(8, 301) = 2408 / 2408
GCD(8, 301) = 1
GCD of 600, 168, 944, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 168, 944, 301?
GCD of 600, 168, 944, 301 is 1
2. Where do I get the detailed procedure to find GCD of 600, 168, 944, 301?
You can find a detailed procedure to find GCD of 600, 168, 944, 301 on our page.
3. How to find GCD of 600, 168, 944, 301 on a calculator?
You can find the GCD of 600, 168, 944, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.