GCD of 386, 752, 80, 448 Calculator

Given Input numbers are 386, 752, 80, 448

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

Divisors of 386

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

1, 2, 193, 386

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 386, 752, 80, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 752, 80, 448 is 2.

Therefore, GCD of numbers 386, 752, 80, 448 is 2

Given Input Data is 386, 752, 80, 448

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(386, 752) = 145136

GCD(386, 752) = ( 386 x 752 ) / 145136

GCD(386, 752) = 290272 / 145136

GCD(386, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

GCD of 386, 752, 80, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 902, 32, 275
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• GCD of 685, 551, 55, 529

1. What is the GCD of 386, 752, 80, 448?

GCD of 386, 752, 80, 448 is 2

2. Where do I get the detailed procedure to find GCD of 386, 752, 80, 448?

You can find a detailed procedure to find GCD of 386, 752, 80, 448 on our page.

3. How to find GCD of 386, 752, 80, 448 on a calculator?

You can find the GCD of 386, 752, 80, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.