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 140, 791, 894, 286 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 791, 894, 286 is 1
GCD(140, 791, 894, 286) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 791, 894, 286 is 1
GCD(140, 791, 894, 286) = 1
Given Input numbers are 140, 791, 894, 286
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Greatest Common Divisior
We found the divisors of 140, 791, 894, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 791, 894, 286 is 1.
Therefore, GCD of numbers 140, 791, 894, 286 is 1
Given Input Data is 140, 791, 894, 286
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 791 is 7 x 113
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 286 is 2 x 11 x 13
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(140, 791) = 15820
GCD(140, 791) = ( 140 x 791 ) / 15820
GCD(140, 791) = 110740 / 15820
GCD(140, 791) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 894) = 6258
GCD(7, 894) = ( 7 x 894 ) / 6258
GCD(7, 894) = 6258 / 6258
GCD(7, 894) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 1
GCD of 140, 791, 894, 286 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 791, 894, 286?
GCD of 140, 791, 894, 286 is 1
2. Where do I get the detailed procedure to find GCD of 140, 791, 894, 286?
You can find a detailed procedure to find GCD of 140, 791, 894, 286 on our page.
3. How to find GCD of 140, 791, 894, 286 on a calculator?
You can find the GCD of 140, 791, 894, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.