GCD of 654, 348, 87, 273 Calculator

Given Input numbers are 654, 348, 87, 273

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 87

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

1, 3, 29, 87

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 654, 348, 87, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 348, 87, 273 is 3.

Therefore, GCD of numbers 654, 348, 87, 273 is 3

Given Input Data is 654, 348, 87, 273

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 87 is 3 x 29

Prime Factorization of 273 is 3 x 7 x 13

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(654, 348) = 37932

GCD(654, 348) = ( 654 x 348 ) / 37932

GCD(654, 348) = 227592 / 37932

GCD(654, 348) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 87

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

LCM(6, 87) = 174

GCD(6, 87) = ( 6 x 87 ) / 174

GCD(6, 87) = 522 / 174

GCD(6, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 273

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

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

GCD(3, 273) = 819 / 273

GCD(3, 273) = 3

GCD of 654, 348, 87, 273 is 3

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1. What is the GCD of 654, 348, 87, 273?

GCD of 654, 348, 87, 273 is 3

2. Where do I get the detailed procedure to find GCD of 654, 348, 87, 273?

You can find a detailed procedure to find GCD of 654, 348, 87, 273 on our page.

3. How to find GCD of 654, 348, 87, 273 on a calculator?

You can find the GCD of 654, 348, 87, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.