GCD of 458, 288, 749, 138 Calculator

Given Input numbers are 458, 288, 749, 138

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 458, 288, 749, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 288, 749, 138 is 1.

Therefore, GCD of numbers 458, 288, 749, 138 is 1

Given Input Data is 458, 288, 749, 138

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 749 is 7 x 107

Prime Factorization of 138 is 2 x 3 x 23

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(458, 288) = 65952

GCD(458, 288) = ( 458 x 288 ) / 65952

GCD(458, 288) = 131904 / 65952

GCD(458, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 458, 288, 749, 138 is 1

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1. What is the GCD of 458, 288, 749, 138?

GCD of 458, 288, 749, 138 is 1

2. Where do I get the detailed procedure to find GCD of 458, 288, 749, 138?

You can find a detailed procedure to find GCD of 458, 288, 749, 138 on our page.

3. How to find GCD of 458, 288, 749, 138 on a calculator?

You can find the GCD of 458, 288, 749, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.