GCD of 544, 528, 112, 153 Calculator

Given Input numbers are 544, 528, 112, 153

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 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 544, 528, 112, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 528, 112, 153 is 1.

Therefore, GCD of numbers 544, 528, 112, 153 is 1

Given Input Data is 544, 528, 112, 153

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 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 153 is 3 x 3 x 17

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, 528) = 17952

GCD(544, 528) = ( 544 x 528 ) / 17952

GCD(544, 528) = 287232 / 17952

GCD(544, 528) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 112

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

LCM(16, 112) = 112

GCD(16, 112) = ( 16 x 112 ) / 112

GCD(16, 112) = 1792 / 112

GCD(16, 112) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 153

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

LCM(16, 153) = 2448

GCD(16, 153) = ( 16 x 153 ) / 2448

GCD(16, 153) = 2448 / 2448

GCD(16, 153) = 1

GCD of 544, 528, 112, 153 is 1

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1. What is the GCD of 544, 528, 112, 153?

GCD of 544, 528, 112, 153 is 1

2. Where do I get the detailed procedure to find GCD of 544, 528, 112, 153?

You can find a detailed procedure to find GCD of 544, 528, 112, 153 on our page.

3. How to find GCD of 544, 528, 112, 153 on a calculator?

You can find the GCD of 544, 528, 112, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.