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 260, 175, 43, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 260, 175, 43, 195 is 1
GCD(260, 175, 43, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 260, 175, 43, 195 is 1
GCD(260, 175, 43, 195) = 1
Given Input numbers are 260, 175, 43, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 260, 175, 43, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 175, 43, 195 is 1.
Therefore, GCD of numbers 260, 175, 43, 195 is 1
Given Input Data is 260, 175, 43, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 43 is 43
Prime Factorization of 195 is 3 x 5 x 13
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(260, 175) = 9100
GCD(260, 175) = ( 260 x 175 ) / 9100
GCD(260, 175) = 45500 / 9100
GCD(260, 175) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 43) = 215
GCD(5, 43) = ( 5 x 43 ) / 215
GCD(5, 43) = 215 / 215
GCD(5, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
GCD of 260, 175, 43, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 260, 175, 43, 195?
GCD of 260, 175, 43, 195 is 1
2. Where do I get the detailed procedure to find GCD of 260, 175, 43, 195?
You can find a detailed procedure to find GCD of 260, 175, 43, 195 on our page.
3. How to find GCD of 260, 175, 43, 195 on a calculator?
You can find the GCD of 260, 175, 43, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.