GCD of 669, 492, 87, 864 Calculator

Given Input numbers are 669, 492, 87, 864

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

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 669, 492, 87, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 492, 87, 864 is 3.

Therefore, GCD of numbers 669, 492, 87, 864 is 3

Given Input Data is 669, 492, 87, 864

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 87 is 3 x 29

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(669, 492) = 109716

GCD(669, 492) = ( 669 x 492 ) / 109716

GCD(669, 492) = 329148 / 109716

GCD(669, 492) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 864

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

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

GCD(3, 864) = 2592 / 864

GCD(3, 864) = 3

GCD of 669, 492, 87, 864 is 3

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1. What is the GCD of 669, 492, 87, 864?

GCD of 669, 492, 87, 864 is 3

2. Where do I get the detailed procedure to find GCD of 669, 492, 87, 864?

You can find a detailed procedure to find GCD of 669, 492, 87, 864 on our page.

3. How to find GCD of 669, 492, 87, 864 on a calculator?

You can find the GCD of 669, 492, 87, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.