GCD of 814, 540, 348, 472 Calculator

Given Input numbers are 814, 540, 348, 472

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (814, 540, 348, 472) = 2.

Given numbers are 814, 540, 348, 472

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

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

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 472 are 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 814, 540, 348, 472 is 2.

Given numbers are 814, 540, 348, 472

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

Apply this formula for all numbers.

Step1:

LCM(814, 540) = 219780

GCD(814, 540) = ( 814 x 540 ) / 219780

= 814 / 540

= 814

Step2:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

Step3:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

So, Greatest Common Divisor of 814, 540, 348, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 171, 102, 297
• GCD of 100, 383, 553, 238
• GCD of 857, 335, 137, 440
• GCD of 799, 344, 949, 462
• GCD of 321, 255, 142, 717

Given numbers are 814, 540, 348, 472
The greatest common divisor of numbers 814, 540, 348, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 540, 348, 472 is 2.

1. What is the GCD of 814, 540, 348, 472?

GCD of given numbers 814, 540, 348, 472 is 2

2. How to calculate the greatest common divisor of 814, 540, 348, 472?

We can find the highest common divisor of 814, 540, 348, 472 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 814, 540, 348, 472 i.e 2.

3. How can I use the GCD of 814, 540, 348, 472Calculator?

Out the numbers 814, 540, 348, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.