GCD of 254, 138, 528, 386 Calculator

Given Input numbers are 254, 138, 528, 386

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 254, 138, 528, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 138, 528, 386 is 2.

Therefore, GCD of numbers 254, 138, 528, 386 is 2

Given Input Data is 254, 138, 528, 386

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 386 is 2 x 193

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(254, 138) = 17526

GCD(254, 138) = ( 254 x 138 ) / 17526

GCD(254, 138) = 35052 / 17526

GCD(254, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 386

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

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

GCD(2, 386) = 772 / 386

GCD(2, 386) = 2

GCD of 254, 138, 528, 386 is 2

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1. What is the GCD of 254, 138, 528, 386?

GCD of 254, 138, 528, 386 is 2

2. Where do I get the detailed procedure to find GCD of 254, 138, 528, 386?

You can find a detailed procedure to find GCD of 254, 138, 528, 386 on our page.

3. How to find GCD of 254, 138, 528, 386 on a calculator?

You can find the GCD of 254, 138, 528, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.