GCD of 49, 984, 989, 172 Calculator

Given Input numbers are 49, 984, 989, 172

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 49, 984, 989, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 984, 989, 172 is 1.

Therefore, GCD of numbers 49, 984, 989, 172 is 1

Given Input Data is 49, 984, 989, 172

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 989 is 23 x 43

Prime Factorization of 172 is 2 x 2 x 43

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(49, 984) = 48216

GCD(49, 984) = ( 49 x 984 ) / 48216

GCD(49, 984) = 48216 / 48216

GCD(49, 984) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 49, 984, 989, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 100, 963, 451
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• GCD of 98, 553, 132, 617

1. What is the GCD of 49, 984, 989, 172?

GCD of 49, 984, 989, 172 is 1

2. Where do I get the detailed procedure to find GCD of 49, 984, 989, 172?

You can find a detailed procedure to find GCD of 49, 984, 989, 172 on our page.

3. How to find GCD of 49, 984, 989, 172 on a calculator?

You can find the GCD of 49, 984, 989, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.