GCD of 380, 138, 88, 646 Calculator

Given Input numbers are 380, 138, 88, 646

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 380, 138, 88, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 138, 88, 646 is 2.

Therefore, GCD of numbers 380, 138, 88, 646 is 2

Given Input Data is 380, 138, 88, 646

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 646 is 2 x 17 x 19

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(380, 138) = 26220

GCD(380, 138) = ( 380 x 138 ) / 26220

GCD(380, 138) = 52440 / 26220

GCD(380, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

GCD of 380, 138, 88, 646 is 2

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1. What is the GCD of 380, 138, 88, 646?

GCD of 380, 138, 88, 646 is 2

2. Where do I get the detailed procedure to find GCD of 380, 138, 88, 646?

You can find a detailed procedure to find GCD of 380, 138, 88, 646 on our page.

3. How to find GCD of 380, 138, 88, 646 on a calculator?

You can find the GCD of 380, 138, 88, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.