GCD of 442, 752, 69, 385 Calculator

Given Input numbers are 442, 752, 69, 385

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 442, 752, 69, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 752, 69, 385 is 1.

Therefore, GCD of numbers 442, 752, 69, 385 is 1

Given Input Data is 442, 752, 69, 385

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

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 385 is 5 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

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(442, 752) = 166192

GCD(442, 752) = ( 442 x 752 ) / 166192

GCD(442, 752) = 332384 / 166192

GCD(442, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 442, 752, 69, 385 is 1

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• GCD of 382, 928, 84, 159
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1. What is the GCD of 442, 752, 69, 385?

GCD of 442, 752, 69, 385 is 1

2. Where do I get the detailed procedure to find GCD of 442, 752, 69, 385?

You can find a detailed procedure to find GCD of 442, 752, 69, 385 on our page.

3. How to find GCD of 442, 752, 69, 385 on a calculator?

You can find the GCD of 442, 752, 69, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.