GCD of 58, 754, 576, 448 Calculator

Given Input numbers are 58, 754, 576, 448

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 58, 754, 576, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 754, 576, 448 is 2.

Therefore, GCD of numbers 58, 754, 576, 448 is 2

Given Input Data is 58, 754, 576, 448

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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(58, 754) = 754

GCD(58, 754) = ( 58 x 754 ) / 754

GCD(58, 754) = 43732 / 754

GCD(58, 754) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 576

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

LCM(58, 576) = 16704

GCD(58, 576) = ( 58 x 576 ) / 16704

GCD(58, 576) = 33408 / 16704

GCD(58, 576) = 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 58, 754, 576, 448 is 2

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• GCD of 15, 786, 709, 648
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1. What is the GCD of 58, 754, 576, 448?

GCD of 58, 754, 576, 448 is 2

2. Where do I get the detailed procedure to find GCD of 58, 754, 576, 448?

You can find a detailed procedure to find GCD of 58, 754, 576, 448 on our page.

3. How to find GCD of 58, 754, 576, 448 on a calculator?

You can find the GCD of 58, 754, 576, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.