GCD of 548, 438, 35, 576 Calculator

Given Input numbers are 548, 438, 35, 576

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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

Greatest Common Divisior

We found the divisors of 548, 438, 35, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 438, 35, 576 is 1.

Therefore, GCD of numbers 548, 438, 35, 576 is 1

Given Input Data is 548, 438, 35, 576

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 35 is 5 x 7

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 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(548, 438) = 120012

GCD(548, 438) = ( 548 x 438 ) / 120012

GCD(548, 438) = 240024 / 120012

GCD(548, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

GCD of 548, 438, 35, 576 is 1

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• GCD of 184, 729, 56, 976
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1. What is the GCD of 548, 438, 35, 576?

GCD of 548, 438, 35, 576 is 1

2. Where do I get the detailed procedure to find GCD of 548, 438, 35, 576?

You can find a detailed procedure to find GCD of 548, 438, 35, 576 on our page.

3. How to find GCD of 548, 438, 35, 576 on a calculator?

You can find the GCD of 548, 438, 35, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.