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 235, 862, 17, 658 i.e. 1 largest integer that divides all the numbers equally.
GCD of 235, 862, 17, 658 is 1
GCD(235, 862, 17, 658) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 235, 862, 17, 658 is 1
GCD(235, 862, 17, 658) = 1
Given Input numbers are 235, 862, 17, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 235, 862, 17, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 862, 17, 658 is 1.
Therefore, GCD of numbers 235, 862, 17, 658 is 1
Given Input Data is 235, 862, 17, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 235 is 5 x 47
Prime Factorization of 862 is 2 x 431
Prime Factorization of 17 is 17
Prime Factorization of 658 is 2 x 7 x 47
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(235, 862) = 202570
GCD(235, 862) = ( 235 x 862 ) / 202570
GCD(235, 862) = 202570 / 202570
GCD(235, 862) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
GCD(1, 658) = 658 / 658
GCD(1, 658) = 1
GCD of 235, 862, 17, 658 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 235, 862, 17, 658?
GCD of 235, 862, 17, 658 is 1
2. Where do I get the detailed procedure to find GCD of 235, 862, 17, 658?
You can find a detailed procedure to find GCD of 235, 862, 17, 658 on our page.
3. How to find GCD of 235, 862, 17, 658 on a calculator?
You can find the GCD of 235, 862, 17, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.