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 89, 720, 357, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 89, 720, 357, 335 is 1
GCD(89, 720, 357, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 89, 720, 357, 335 is 1
GCD(89, 720, 357, 335) = 1
Given Input numbers are 89, 720, 357, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 89, 720, 357, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 720, 357, 335 is 1.
Therefore, GCD of numbers 89, 720, 357, 335 is 1
Given Input Data is 89, 720, 357, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 89 is 89
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 335 is 5 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(89, 720) = 64080
GCD(89, 720) = ( 89 x 720 ) / 64080
GCD(89, 720) = 64080 / 64080
GCD(89, 720) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 89, 720, 357, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 89, 720, 357, 335?
GCD of 89, 720, 357, 335 is 1
2. Where do I get the detailed procedure to find GCD of 89, 720, 357, 335?
You can find a detailed procedure to find GCD of 89, 720, 357, 335 on our page.
3. How to find GCD of 89, 720, 357, 335 on a calculator?
You can find the GCD of 89, 720, 357, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.