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 499, 850, 147, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 499, 850, 147, 272 is 1
GCD(499, 850, 147, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 499, 850, 147, 272 is 1
GCD(499, 850, 147, 272) = 1
Given Input numbers are 499, 850, 147, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 499, 850, 147, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 850, 147, 272 is 1.
Therefore, GCD of numbers 499, 850, 147, 272 is 1
Given Input Data is 499, 850, 147, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 499 is 499
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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(499, 850) = 424150
GCD(499, 850) = ( 499 x 850 ) / 424150
GCD(499, 850) = 424150 / 424150
GCD(499, 850) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
GCD(1, 147) = 147 / 147
GCD(1, 147) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
GCD of 499, 850, 147, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 499, 850, 147, 272?
GCD of 499, 850, 147, 272 is 1
2. Where do I get the detailed procedure to find GCD of 499, 850, 147, 272?
You can find a detailed procedure to find GCD of 499, 850, 147, 272 on our page.
3. How to find GCD of 499, 850, 147, 272 on a calculator?
You can find the GCD of 499, 850, 147, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.