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 497, 216, 15, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 497, 216, 15, 170 is 1
GCD(497, 216, 15, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 497, 216, 15, 170 is 1
GCD(497, 216, 15, 170) = 1
Given Input numbers are 497, 216, 15, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 497, 216, 15, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 216, 15, 170 is 1.
Therefore, GCD of numbers 497, 216, 15, 170 is 1
Given Input Data is 497, 216, 15, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 497 is 7 x 71
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 15 is 3 x 5
Prime Factorization of 170 is 2 x 5 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(497, 216) = 107352
GCD(497, 216) = ( 497 x 216 ) / 107352
GCD(497, 216) = 107352 / 107352
GCD(497, 216) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
GCD(1, 170) = 170 / 170
GCD(1, 170) = 1
GCD of 497, 216, 15, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 497, 216, 15, 170?
GCD of 497, 216, 15, 170 is 1
2. Where do I get the detailed procedure to find GCD of 497, 216, 15, 170?
You can find a detailed procedure to find GCD of 497, 216, 15, 170 on our page.
3. How to find GCD of 497, 216, 15, 170 on a calculator?
You can find the GCD of 497, 216, 15, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.