GCD of 930, 987, 172, 199 Calculator

Given Input numbers are 930, 987, 172, 199

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 930, 987, 172, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 987, 172, 199 is 1.

Therefore, GCD of numbers 930, 987, 172, 199 is 1

Given Input Data is 930, 987, 172, 199

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 199 is 199

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(930, 987) = 305970

GCD(930, 987) = ( 930 x 987 ) / 305970

GCD(930, 987) = 917910 / 305970

GCD(930, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 172

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

LCM(3, 172) = 516

GCD(3, 172) = ( 3 x 172 ) / 516

GCD(3, 172) = 516 / 516

GCD(3, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 930, 987, 172, 199 is 1

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1. What is the GCD of 930, 987, 172, 199?

GCD of 930, 987, 172, 199 is 1

2. Where do I get the detailed procedure to find GCD of 930, 987, 172, 199?

You can find a detailed procedure to find GCD of 930, 987, 172, 199 on our page.

3. How to find GCD of 930, 987, 172, 199 on a calculator?

You can find the GCD of 930, 987, 172, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.