GCD of 52, 106, 120, 386 Calculator

Given Input numbers are 52, 106, 120, 386

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 52, 106, 120, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 106, 120, 386 is 2.

Therefore, GCD of numbers 52, 106, 120, 386 is 2

Given Input Data is 52, 106, 120, 386

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 106 is 2 x 53

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(52, 106) = 2756

GCD(52, 106) = ( 52 x 106 ) / 2756

GCD(52, 106) = 5512 / 2756

GCD(52, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 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 52, 106, 120, 386 is 2

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• GCD of 22, 608, 507, 944
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• GCD of 31, 288, 188, 751

1. What is the GCD of 52, 106, 120, 386?

GCD of 52, 106, 120, 386 is 2

2. Where do I get the detailed procedure to find GCD of 52, 106, 120, 386?

You can find a detailed procedure to find GCD of 52, 106, 120, 386 on our page.

3. How to find GCD of 52, 106, 120, 386 on a calculator?

You can find the GCD of 52, 106, 120, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.