GCD of 987, 172, 171, 699 Calculator

Given Input numbers are 987, 172, 171, 699

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

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 987, 172, 171, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 172, 171, 699 is 1.

Therefore, GCD of numbers 987, 172, 171, 699 is 1

Given Input Data is 987, 172, 171, 699

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 699 is 3 x 233

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(987, 172) = 169764

GCD(987, 172) = ( 987 x 172 ) / 169764

GCD(987, 172) = 169764 / 169764

GCD(987, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 987, 172, 171, 699 is 1

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1. What is the GCD of 987, 172, 171, 699?

GCD of 987, 172, 171, 699 is 1

2. Where do I get the detailed procedure to find GCD of 987, 172, 171, 699?

You can find a detailed procedure to find GCD of 987, 172, 171, 699 on our page.

3. How to find GCD of 987, 172, 171, 699 on a calculator?

You can find the GCD of 987, 172, 171, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.