GCD of 164, 684, 45, 987 Calculator

Given Input numbers are 164, 684, 45, 987

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 987

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

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

Greatest Common Divisior

We found the divisors of 164, 684, 45, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 684, 45, 987 is 1.

Therefore, GCD of numbers 164, 684, 45, 987 is 1

Given Input Data is 164, 684, 45, 987

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 987 is 3 x 7 x 47

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(164, 684) = 28044

GCD(164, 684) = ( 164 x 684 ) / 28044

GCD(164, 684) = 112176 / 28044

GCD(164, 684) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 45

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

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

GCD(4, 45) = 180 / 180

GCD(4, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 164, 684, 45, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 388, 49, 326
• GCD of 335, 197, 39, 340
• GCD of 456, 868, 37, 154
• GCD of 129, 824, 61, 470
• GCD of 237, 900, 56, 284

1. What is the GCD of 164, 684, 45, 987?

GCD of 164, 684, 45, 987 is 1

2. Where do I get the detailed procedure to find GCD of 164, 684, 45, 987?

You can find a detailed procedure to find GCD of 164, 684, 45, 987 on our page.

3. How to find GCD of 164, 684, 45, 987 on a calculator?

You can find the GCD of 164, 684, 45, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.