GCD of 654, 274, 220, 548 Calculator

Given Input numbers are 654, 274, 220, 548

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 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 654, 274, 220, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 274, 220, 548 is 2.

Therefore, GCD of numbers 654, 274, 220, 548 is 2

Given Input Data is 654, 274, 220, 548

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 274 is 2 x 137

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 548 is 2 x 2 x 137

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 274) = 89598

GCD(654, 274) = ( 654 x 274 ) / 89598

GCD(654, 274) = 179196 / 89598

GCD(654, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 548

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

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

GCD(2, 548) = 1096 / 548

GCD(2, 548) = 2

GCD of 654, 274, 220, 548 is 2

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1. What is the GCD of 654, 274, 220, 548?

GCD of 654, 274, 220, 548 is 2

2. Where do I get the detailed procedure to find GCD of 654, 274, 220, 548?

You can find a detailed procedure to find GCD of 654, 274, 220, 548 on our page.

3. How to find GCD of 654, 274, 220, 548 on a calculator?

You can find the GCD of 654, 274, 220, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.