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 875, 198, 145, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 198, 145, 125 is 1
GCD(875, 198, 145, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 198, 145, 125 is 1
GCD(875, 198, 145, 125) = 1
Given Input numbers are 875, 198, 145, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 875, 198, 145, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 198, 145, 125 is 1.
Therefore, GCD of numbers 875, 198, 145, 125 is 1
Given Input Data is 875, 198, 145, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 145 is 5 x 29
Prime Factorization of 125 is 5 x 5 x 5
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(875, 198) = 173250
GCD(875, 198) = ( 875 x 198 ) / 173250
GCD(875, 198) = 173250 / 173250
GCD(875, 198) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 875, 198, 145, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 198, 145, 125?
GCD of 875, 198, 145, 125 is 1
2. Where do I get the detailed procedure to find GCD of 875, 198, 145, 125?
You can find a detailed procedure to find GCD of 875, 198, 145, 125 on our page.
3. How to find GCD of 875, 198, 145, 125 on a calculator?
You can find the GCD of 875, 198, 145, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.