GCD of 544, 132, 29, 498 Calculator

Given Input numbers are 544, 132, 29, 498

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 544, 132, 29, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 132, 29, 498 is 1.

Therefore, GCD of numbers 544, 132, 29, 498 is 1

Given Input Data is 544, 132, 29, 498

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 29 is 29

Prime Factorization of 498 is 2 x 3 x 83

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(544, 132) = 17952

GCD(544, 132) = ( 544 x 132 ) / 17952

GCD(544, 132) = 71808 / 17952

GCD(544, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 29

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

LCM(4, 29) = 116

GCD(4, 29) = ( 4 x 29 ) / 116

GCD(4, 29) = 116 / 116

GCD(4, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 544, 132, 29, 498 is 1

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• GCD of 977, 471, 47, 171
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1. What is the GCD of 544, 132, 29, 498?

GCD of 544, 132, 29, 498 is 1

2. Where do I get the detailed procedure to find GCD of 544, 132, 29, 498?

You can find a detailed procedure to find GCD of 544, 132, 29, 498 on our page.

3. How to find GCD of 544, 132, 29, 498 on a calculator?

You can find the GCD of 544, 132, 29, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.