GCD of 544, 652, 82, 660 Calculator

Given Input numbers are 544, 652, 82, 660

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 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 544, 652, 82, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 652, 82, 660 is 2.

Therefore, GCD of numbers 544, 652, 82, 660 is 2

Given Input Data is 544, 652, 82, 660

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 652 is 2 x 2 x 163

Prime Factorization of 82 is 2 x 41

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(544, 652) = 88672

GCD(544, 652) = ( 544 x 652 ) / 88672

GCD(544, 652) = 354688 / 88672

GCD(544, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 82

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

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

GCD(4, 82) = 328 / 164

GCD(4, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

GCD of 544, 652, 82, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 158, 19, 953
• GCD of 163, 386, 75, 365
• GCD of 626, 977, 30, 355
• GCD of 201, 141, 56, 433
• GCD of 134, 531, 21, 597

1. What is the GCD of 544, 652, 82, 660?

GCD of 544, 652, 82, 660 is 2

2. Where do I get the detailed procedure to find GCD of 544, 652, 82, 660?

You can find a detailed procedure to find GCD of 544, 652, 82, 660 on our page.

3. How to find GCD of 544, 652, 82, 660 on a calculator?

You can find the GCD of 544, 652, 82, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.