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 297, 625, 59, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 625, 59, 272 is 1
GCD(297, 625, 59, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 625, 59, 272 is 1
GCD(297, 625, 59, 272) = 1
Given Input numbers are 297, 625, 59, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
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 297, 625, 59, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 625, 59, 272 is 1.
Therefore, GCD of numbers 297, 625, 59, 272 is 1
Given Input Data is 297, 625, 59, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 59 is 59
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(297, 625) = 185625
GCD(297, 625) = ( 297 x 625 ) / 185625
GCD(297, 625) = 185625 / 185625
GCD(297, 625) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 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 297, 625, 59, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 625, 59, 272?
GCD of 297, 625, 59, 272 is 1
2. Where do I get the detailed procedure to find GCD of 297, 625, 59, 272?
You can find a detailed procedure to find GCD of 297, 625, 59, 272 on our page.
3. How to find GCD of 297, 625, 59, 272 on a calculator?
You can find the GCD of 297, 625, 59, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.