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 843, 288, 70, 268 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 288, 70, 268 is 1
GCD(843, 288, 70, 268) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 288, 70, 268 is 1
GCD(843, 288, 70, 268) = 1
Given Input numbers are 843, 288, 70, 268
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Greatest Common Divisior
We found the divisors of 843, 288, 70, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 288, 70, 268 is 1.
Therefore, GCD of numbers 843, 288, 70, 268 is 1
Given Input Data is 843, 288, 70, 268
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 268 is 2 x 2 x 67
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(843, 288) = 80928
GCD(843, 288) = ( 843 x 288 ) / 80928
GCD(843, 288) = 242784 / 80928
GCD(843, 288) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 70) = 210
GCD(3, 70) = ( 3 x 70 ) / 210
GCD(3, 70) = 210 / 210
GCD(3, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
GCD of 843, 288, 70, 268 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 288, 70, 268?
GCD of 843, 288, 70, 268 is 1
2. Where do I get the detailed procedure to find GCD of 843, 288, 70, 268?
You can find a detailed procedure to find GCD of 843, 288, 70, 268 on our page.
3. How to find GCD of 843, 288, 70, 268 on a calculator?
You can find the GCD of 843, 288, 70, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.