GCD of 198, 375, 43, 895 Calculator

Given Input numbers are 198, 375, 43, 895

To find the GCD of numbers using factoring list out all the divisors of each number

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 198, 375, 43, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 375, 43, 895 is 1.

Therefore, GCD of numbers 198, 375, 43, 895 is 1

Given Input Data is 198, 375, 43, 895

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 43 is 43

Prime Factorization of 895 is 5 x 179

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(198, 375) = 24750

GCD(198, 375) = ( 198 x 375 ) / 24750

GCD(198, 375) = 74250 / 24750

GCD(198, 375) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 43

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 43) = 129

GCD(3, 43) = ( 3 x 43 ) / 129

GCD(3, 43) = 129 / 129

GCD(3, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 198, 375, 43, 895 is 1

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1. What is the GCD of 198, 375, 43, 895?

GCD of 198, 375, 43, 895 is 1

2. Where do I get the detailed procedure to find GCD of 198, 375, 43, 895?

You can find a detailed procedure to find GCD of 198, 375, 43, 895 on our page.

3. How to find GCD of 198, 375, 43, 895 on a calculator?

You can find the GCD of 198, 375, 43, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.