GCD of 540, 982, 522, 238 Calculator

Given Input numbers are 540, 982, 522, 238

In the factoring method, we have to find the divisors of all numbers

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

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 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (540, 982, 522, 238) = 2.

Given numbers are 540, 982, 522, 238

The list of prime factors of all numbers are

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 982 are 2 x 491

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 540, 982, 522, 238 is 2.

Given numbers are 540, 982, 522, 238

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(540, 982) = 265140

GCD(540, 982) = ( 540 x 982 ) / 265140

= 540 / 982

= 540

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 540, 982, 522, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 479, 835, 580
• GCD of 622, 567, 361, 241
• GCD of 386, 620, 874, 751
• GCD of 845, 501, 156, 270
• GCD of 229, 742, 404, 701

Given numbers are 540, 982, 522, 238
The greatest common divisor of numbers 540, 982, 522, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 982, 522, 238 is 2.

1. What is the GCD of 540, 982, 522, 238?

GCD of given numbers 540, 982, 522, 238 is 2

2. How to calculate the greatest common divisor of 540, 982, 522, 238?

We can find the highest common divisor of 540, 982, 522, 238 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 540, 982, 522, 238 i.e 2.

3. How can I use the GCD of 540, 982, 522, 238Calculator?

Out the numbers 540, 982, 522, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.