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 156, 292, 24, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 292, 24, 297 is 1
GCD(156, 292, 24, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 292, 24, 297 is 1
GCD(156, 292, 24, 297) = 1
Given Input numbers are 156, 292, 24, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
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 156, 292, 24, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 292, 24, 297 is 1.
Therefore, GCD of numbers 156, 292, 24, 297 is 1
Given Input Data is 156, 292, 24, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 24 is 2 x 2 x 2 x 3
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(156, 292) = 11388
GCD(156, 292) = ( 156 x 292 ) / 11388
GCD(156, 292) = 45552 / 11388
GCD(156, 292) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 24) = 24
GCD(4, 24) = ( 4 x 24 ) / 24
GCD(4, 24) = 96 / 24
GCD(4, 24) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 297) = 1188
GCD(4, 297) = ( 4 x 297 ) / 1188
GCD(4, 297) = 1188 / 1188
GCD(4, 297) = 1
GCD of 156, 292, 24, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 292, 24, 297?
GCD of 156, 292, 24, 297 is 1
2. Where do I get the detailed procedure to find GCD of 156, 292, 24, 297?
You can find a detailed procedure to find GCD of 156, 292, 24, 297 on our page.
3. How to find GCD of 156, 292, 24, 297 on a calculator?
You can find the GCD of 156, 292, 24, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.