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 35, 258, 588, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 258, 588, 432 is 1
GCD(35, 258, 588, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 258, 588, 432 is 1
GCD(35, 258, 588, 432) = 1
Given Input numbers are 35, 258, 588, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 35, 258, 588, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 258, 588, 432 is 1.
Therefore, GCD of numbers 35, 258, 588, 432 is 1
Given Input Data is 35, 258, 588, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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(35, 258) = 9030
GCD(35, 258) = ( 35 x 258 ) / 9030
GCD(35, 258) = 9030 / 9030
GCD(35, 258) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 35, 258, 588, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 258, 588, 432?
GCD of 35, 258, 588, 432 is 1
2. Where do I get the detailed procedure to find GCD of 35, 258, 588, 432?
You can find a detailed procedure to find GCD of 35, 258, 588, 432 on our page.
3. How to find GCD of 35, 258, 588, 432 on a calculator?
You can find the GCD of 35, 258, 588, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.