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, 117, 36, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 117, 36, 802 is 1
GCD(297, 117, 36, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 117, 36, 802 is 1
GCD(297, 117, 36, 802) = 1
Given Input numbers are 297, 117, 36, 802
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 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 297, 117, 36, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 117, 36, 802 is 1.
Therefore, GCD of numbers 297, 117, 36, 802 is 1
Given Input Data is 297, 117, 36, 802
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 117 is 3 x 3 x 13
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 802 is 2 x 401
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, 117) = 3861
GCD(297, 117) = ( 297 x 117 ) / 3861
GCD(297, 117) = 34749 / 3861
GCD(297, 117) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 36) = 36
GCD(9, 36) = ( 9 x 36 ) / 36
GCD(9, 36) = 324 / 36
GCD(9, 36) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 802) = 7218
GCD(9, 802) = ( 9 x 802 ) / 7218
GCD(9, 802) = 7218 / 7218
GCD(9, 802) = 1
GCD of 297, 117, 36, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 117, 36, 802?
GCD of 297, 117, 36, 802 is 1
2. Where do I get the detailed procedure to find GCD of 297, 117, 36, 802?
You can find a detailed procedure to find GCD of 297, 117, 36, 802 on our page.
3. How to find GCD of 297, 117, 36, 802 on a calculator?
You can find the GCD of 297, 117, 36, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.