GCD of 998, 540, 522, 368 Calculator

Given Input numbers are 998, 540, 522, 368

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

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 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 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

GCD of numbers is the greatest common divisor

So, the GCD (998, 540, 522, 368) = 2.

Given numbers are 998, 540, 522, 368

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

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

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

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2¹

Therefore, GCD of 998, 540, 522, 368 is 2.

Given numbers are 998, 540, 522, 368

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

Apply this formula for all numbers.

Step1:

LCM(998, 540) = 269460

GCD(998, 540) = ( 998 x 540 ) / 269460

= 998 / 540

= 998

Step2:

LCM(2, 522) = 522

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

= 2 / 522

= 2

Step3:

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

= 2 / 368

= 2

So, Greatest Common Divisor of 998, 540, 522, 368 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 523, 340, 680
• GCD of 796, 956, 665, 763
• GCD of 378, 997, 467, 299
• GCD of 994, 603, 451, 944
• GCD of 291, 572, 687, 558

Given numbers are 998, 540, 522, 368
The greatest common divisor of numbers 998, 540, 522, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 540, 522, 368 is 2.

1. What is the GCD of 998, 540, 522, 368?

GCD of given numbers 998, 540, 522, 368 is 2

2. How to calculate the greatest common divisor of 998, 540, 522, 368?

We can find the highest common divisor of 998, 540, 522, 368 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 998, 540, 522, 368 i.e 2.

3. How can I use the GCD of 998, 540, 522, 368Calculator?

Out the numbers 998, 540, 522, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.