GCD of 734, 138, 96, 928 Calculator

Given Input numbers are 734, 138, 96, 928

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 734, 138, 96, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 138, 96, 928 is 2.

Therefore, GCD of numbers 734, 138, 96, 928 is 2

Given Input Data is 734, 138, 96, 928

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(734, 138) = 50646

GCD(734, 138) = ( 734 x 138 ) / 50646

GCD(734, 138) = 101292 / 50646

GCD(734, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

GCD of 734, 138, 96, 928 is 2

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1. What is the GCD of 734, 138, 96, 928?

GCD of 734, 138, 96, 928 is 2

2. Where do I get the detailed procedure to find GCD of 734, 138, 96, 928?

You can find a detailed procedure to find GCD of 734, 138, 96, 928 on our page.

3. How to find GCD of 734, 138, 96, 928 on a calculator?

You can find the GCD of 734, 138, 96, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.