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 93, 303, 784, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 93, 303, 784, 802 is 1
GCD(93, 303, 784, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 93, 303, 784, 802 is 1
GCD(93, 303, 784, 802) = 1
Given Input numbers are 93, 303, 784, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
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 93, 303, 784, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 303, 784, 802 is 1.
Therefore, GCD of numbers 93, 303, 784, 802 is 1
Given Input Data is 93, 303, 784, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 93 is 3 x 31
Prime Factorization of 303 is 3 x 101
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
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(93, 303) = 9393
GCD(93, 303) = ( 93 x 303 ) / 9393
GCD(93, 303) = 28179 / 9393
GCD(93, 303) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 784) = 2352
GCD(3, 784) = ( 3 x 784 ) / 2352
GCD(3, 784) = 2352 / 2352
GCD(3, 784) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 93, 303, 784, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 93, 303, 784, 802?
GCD of 93, 303, 784, 802 is 1
2. Where do I get the detailed procedure to find GCD of 93, 303, 784, 802?
You can find a detailed procedure to find GCD of 93, 303, 784, 802 on our page.
3. How to find GCD of 93, 303, 784, 802 on a calculator?
You can find the GCD of 93, 303, 784, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.