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, 117, 897, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 117, 897, 179 is 1
GCD(35, 117, 897, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 117, 897, 179 is 1
GCD(35, 117, 897, 179) = 1
Given Input numbers are 35, 117, 897, 179
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 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 35, 117, 897, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 117, 897, 179 is 1.
Therefore, GCD of numbers 35, 117, 897, 179 is 1
Given Input Data is 35, 117, 897, 179
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 179 is 179
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, 117) = 4095
GCD(35, 117) = ( 35 x 117 ) / 4095
GCD(35, 117) = 4095 / 4095
GCD(35, 117) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 897) = 897
GCD(1, 897) = ( 1 x 897 ) / 897
GCD(1, 897) = 897 / 897
GCD(1, 897) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
GCD of 35, 117, 897, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 117, 897, 179?
GCD of 35, 117, 897, 179 is 1
2. Where do I get the detailed procedure to find GCD of 35, 117, 897, 179?
You can find a detailed procedure to find GCD of 35, 117, 897, 179 on our page.
3. How to find GCD of 35, 117, 897, 179 on a calculator?
You can find the GCD of 35, 117, 897, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.