GCD of 540, 902, 318, 684 Calculator

Given Input numbers are 540, 902, 318, 684

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 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (540, 902, 318, 684) = 2.

Given numbers are 540, 902, 318, 684

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 902 are 2 x 11 x 41

Prime factors of 318 are 2 x 3 x 53

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 540, 902, 318, 684 is 2.

Given numbers are 540, 902, 318, 684

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

Apply this formula for all numbers.

Step1:

LCM(540, 902) = 243540

GCD(540, 902) = ( 540 x 902 ) / 243540

= 540 / 902

= 540

Step2:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 540, 902, 318, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 600, 444, 649
• GCD of 615, 156, 785, 968
• GCD of 918, 961, 628, 430
• GCD of 770, 668, 636, 861
• GCD of 276, 198, 375, 770

Given numbers are 540, 902, 318, 684
The greatest common divisor of numbers 540, 902, 318, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 902, 318, 684 is 2.

1. What is the GCD of 540, 902, 318, 684?

GCD of given numbers 540, 902, 318, 684 is 2

2. How to calculate the greatest common divisor of 540, 902, 318, 684?

We can find the highest common divisor of 540, 902, 318, 684 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, 902, 318, 684 i.e 2.

3. How can I use the GCD of 540, 902, 318, 684Calculator?

Out the numbers 540, 902, 318, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.