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, 992, 290 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 992, 290 is 1
GCD(175, 992, 290) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 992, 290 is 1
GCD(175, 992, 290) = 1
Given Input numbers are 175, 992, 290
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 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Greatest Common Divisior
We found the divisors of 175, 992, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 992, 290 is 1.
Therefore, GCD of numbers 175, 992, 290 is 1
Given Input Data is 175, 992, 290
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 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 290 is 2 x 5 x 29
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, 992) = 173600
GCD(175, 992) = ( 175 x 992 ) / 173600
GCD(175, 992) = 173600 / 173600
GCD(175, 992) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
GCD(1, 290) = 290 / 290
GCD(1, 290) = 1
GCD of 175, 992, 290 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 992, 290?
GCD of 175, 992, 290 is 1
2. Where do I get the detailed procedure to find GCD of 175, 992, 290?
You can find a detailed procedure to find GCD of 175, 992, 290 on our page.
3. How to find GCD of 175, 992, 290 on a calculator?
You can find the GCD of 175, 992, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.