GCD of 544, 132, 31, 240 Calculator

Given Input numbers are 544, 132, 31, 240

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 544, 132, 31, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 132, 31, 240 is 1.

Therefore, GCD of numbers 544, 132, 31, 240 is 1

Given Input Data is 544, 132, 31, 240

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 31 is 31

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 544, 132, 31, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 166, 81, 584
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• GCD of 745, 510, 96, 693
• GCD of 713, 711, 51, 146

1. What is the GCD of 544, 132, 31, 240?

GCD of 544, 132, 31, 240 is 1

2. Where do I get the detailed procedure to find GCD of 544, 132, 31, 240?

You can find a detailed procedure to find GCD of 544, 132, 31, 240 on our page.

3. How to find GCD of 544, 132, 31, 240 on a calculator?

You can find the GCD of 544, 132, 31, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.