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, 962, 30, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 497, 962, 30, 297 is 1
GCD(497, 962, 30, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 497, 962, 30, 297 is 1
GCD(497, 962, 30, 297) = 1
Given Input numbers are 497, 962, 30, 297
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 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 497, 962, 30, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 962, 30, 297 is 1.
Therefore, GCD of numbers 497, 962, 30, 297 is 1
Given Input Data is 497, 962, 30, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 497 is 7 x 71
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 297 is 3 x 3 x 3 x 11
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, 962) = 478114
GCD(497, 962) = ( 497 x 962 ) / 478114
GCD(497, 962) = 478114 / 478114
GCD(497, 962) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 497, 962, 30, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 497, 962, 30, 297?
GCD of 497, 962, 30, 297 is 1
2. Where do I get the detailed procedure to find GCD of 497, 962, 30, 297?
You can find a detailed procedure to find GCD of 497, 962, 30, 297 on our page.
3. How to find GCD of 497, 962, 30, 297 on a calculator?
You can find the GCD of 497, 962, 30, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.