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, 641, 198, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 641, 198, 533 is 1
GCD(175, 641, 198, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 641, 198, 533 is 1
GCD(175, 641, 198, 533) = 1
Given Input numbers are 175, 641, 198, 533
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 641
List of positive integer divisors of 641 that divides 641 without a remainder.
1, 641
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 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 175, 641, 198, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 641, 198, 533 is 1.
Therefore, GCD of numbers 175, 641, 198, 533 is 1
Given Input Data is 175, 641, 198, 533
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 641 is 641
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 533 is 13 x 41
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, 641) = 112175
GCD(175, 641) = ( 175 x 641 ) / 112175
GCD(175, 641) = 112175 / 112175
GCD(175, 641) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
GCD(1, 533) = 533 / 533
GCD(1, 533) = 1
GCD of 175, 641, 198, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 641, 198, 533?
GCD of 175, 641, 198, 533 is 1
2. Where do I get the detailed procedure to find GCD of 175, 641, 198, 533?
You can find a detailed procedure to find GCD of 175, 641, 198, 533 on our page.
3. How to find GCD of 175, 641, 198, 533 on a calculator?
You can find the GCD of 175, 641, 198, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.