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 268, 950, 72, 473 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 950, 72, 473 is 1
GCD(268, 950, 72, 473) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 950, 72, 473 is 1
GCD(268, 950, 72, 473) = 1
Given Input numbers are 268, 950, 72, 473
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
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 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Greatest Common Divisior
We found the divisors of 268, 950, 72, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 950, 72, 473 is 1.
Therefore, GCD of numbers 268, 950, 72, 473 is 1
Given Input Data is 268, 950, 72, 473
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 473 is 11 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(268, 950) = 127300
GCD(268, 950) = ( 268 x 950 ) / 127300
GCD(268, 950) = 254600 / 127300
GCD(268, 950) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 473
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 473) = 946
GCD(2, 473) = ( 2 x 473 ) / 946
GCD(2, 473) = 946 / 946
GCD(2, 473) = 1
GCD of 268, 950, 72, 473 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 950, 72, 473?
GCD of 268, 950, 72, 473 is 1
2. Where do I get the detailed procedure to find GCD of 268, 950, 72, 473?
You can find a detailed procedure to find GCD of 268, 950, 72, 473 on our page.
3. How to find GCD of 268, 950, 72, 473 on a calculator?
You can find the GCD of 268, 950, 72, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.