GCD of 540, 794, 364, 916 Calculator

Given Input numbers are 540, 794, 364, 916

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 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (540, 794, 364, 916) = 2.

Given numbers are 540, 794, 364, 916

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 794 are 2 x 397

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 540, 794, 364, 916 is 2.

Given numbers are 540, 794, 364, 916

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

Apply this formula for all numbers.

Step1:

LCM(540, 794) = 214380

GCD(540, 794) = ( 540 x 794 ) / 214380

= 540 / 794

= 540

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 540, 794, 364, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 346, 817, 620
• GCD of 282, 320, 554, 162
• GCD of 589, 871, 959, 981
• GCD of 733, 431, 666, 353
• GCD of 188, 866, 344, 448

Given numbers are 540, 794, 364, 916
The greatest common divisor of numbers 540, 794, 364, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 794, 364, 916 is 2.

1. What is the GCD of 540, 794, 364, 916?

GCD of given numbers 540, 794, 364, 916 is 2

2. How to calculate the greatest common divisor of 540, 794, 364, 916?

We can find the highest common divisor of 540, 794, 364, 916 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, 794, 364, 916 i.e 2.

3. How can I use the GCD of 540, 794, 364, 916Calculator?

Out the numbers 540, 794, 364, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.