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 175, 867, 18, 470 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 867, 18, 470 is 1
GCD(175, 867, 18, 470) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 867, 18, 470 is 1
GCD(175, 867, 18, 470) = 1
Given Input numbers are 175, 867, 18, 470
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Greatest Common Divisior
We found the divisors of 175, 867, 18, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 867, 18, 470 is 1.
Therefore, GCD of numbers 175, 867, 18, 470 is 1
Given Input Data is 175, 867, 18, 470
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 470 is 2 x 5 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(175, 867) = 151725
GCD(175, 867) = ( 175 x 867 ) / 151725
GCD(175, 867) = 151725 / 151725
GCD(175, 867) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
GCD of 175, 867, 18, 470 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 867, 18, 470?
GCD of 175, 867, 18, 470 is 1
2. Where do I get the detailed procedure to find GCD of 175, 867, 18, 470?
You can find a detailed procedure to find GCD of 175, 867, 18, 470 on our page.
3. How to find GCD of 175, 867, 18, 470 on a calculator?
You can find the GCD of 175, 867, 18, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.