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 426, 814, 235, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 814, 235, 160 is 1
GCD(426, 814, 235, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 814, 235, 160 is 1
GCD(426, 814, 235, 160) = 1
Given Input numbers are 426, 814, 235, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 426, 814, 235, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 814, 235, 160 is 1.
Therefore, GCD of numbers 426, 814, 235, 160 is 1
Given Input Data is 426, 814, 235, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 235 is 5 x 47
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(426, 814) = 173382
GCD(426, 814) = ( 426 x 814 ) / 173382
GCD(426, 814) = 346764 / 173382
GCD(426, 814) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 235) = 470
GCD(2, 235) = ( 2 x 235 ) / 470
GCD(2, 235) = 470 / 470
GCD(2, 235) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 426, 814, 235, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 814, 235, 160?
GCD of 426, 814, 235, 160 is 1
2. Where do I get the detailed procedure to find GCD of 426, 814, 235, 160?
You can find a detailed procedure to find GCD of 426, 814, 235, 160 on our page.
3. How to find GCD of 426, 814, 235, 160 on a calculator?
You can find the GCD of 426, 814, 235, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.