GCD of 638, 578, 58, 456 Calculator

Given Input numbers are 638, 578, 58, 456

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 58

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

1, 2, 29, 58

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 638, 578, 58, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 578, 58, 456 is 2.

Therefore, GCD of numbers 638, 578, 58, 456 is 2

Given Input Data is 638, 578, 58, 456

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 58 is 2 x 29

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(638, 578) = 184382

GCD(638, 578) = ( 638 x 578 ) / 184382

GCD(638, 578) = 368764 / 184382

GCD(638, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 456

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

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

GCD(2, 456) = 912 / 456

GCD(2, 456) = 2

GCD of 638, 578, 58, 456 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 249, 17, 846
• GCD of 137, 477, 65, 559
• GCD of 414, 505, 19, 644
• GCD of 705, 703, 51, 788
• GCD of 642, 215, 20, 922

1. What is the GCD of 638, 578, 58, 456?

GCD of 638, 578, 58, 456 is 2

2. Where do I get the detailed procedure to find GCD of 638, 578, 58, 456?

You can find a detailed procedure to find GCD of 638, 578, 58, 456 on our page.

3. How to find GCD of 638, 578, 58, 456 on a calculator?

You can find the GCD of 638, 578, 58, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.