GCD of 540, 874, 82, 726 Calculator

Given Input numbers are 540, 874, 82, 726

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 82

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

1, 2, 41, 82

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 540, 874, 82, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 874, 82, 726 is 2.

Therefore, GCD of numbers 540, 874, 82, 726 is 2

Given Input Data is 540, 874, 82, 726

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 82 is 2 x 41

Prime Factorization of 726 is 2 x 3 x 11 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(540, 874) = 235980

GCD(540, 874) = ( 540 x 874 ) / 235980

GCD(540, 874) = 471960 / 235980

GCD(540, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

GCD of 540, 874, 82, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 829, 39, 103
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• GCD of 382, 561, 42, 734

1. What is the GCD of 540, 874, 82, 726?

GCD of 540, 874, 82, 726 is 2

2. Where do I get the detailed procedure to find GCD of 540, 874, 82, 726?

You can find a detailed procedure to find GCD of 540, 874, 82, 726 on our page.

3. How to find GCD of 540, 874, 82, 726 on a calculator?

You can find the GCD of 540, 874, 82, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.