GCD of 138, 761, 828, 384 Calculator

Given Input numbers are 138, 761, 828, 384

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

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 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 138, 761, 828, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 761, 828, 384 is 1.

Therefore, GCD of numbers 138, 761, 828, 384 is 1

Given Input Data is 138, 761, 828, 384

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 761 is 761

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(138, 761) = 105018

GCD(138, 761) = ( 138 x 761 ) / 105018

GCD(138, 761) = 105018 / 105018

GCD(138, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 138, 761, 828, 384 is 1

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1. What is the GCD of 138, 761, 828, 384?

GCD of 138, 761, 828, 384 is 1

2. Where do I get the detailed procedure to find GCD of 138, 761, 828, 384?

You can find a detailed procedure to find GCD of 138, 761, 828, 384 on our page.

3. How to find GCD of 138, 761, 828, 384 on a calculator?

You can find the GCD of 138, 761, 828, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.