GCD of 540, 738, 816, 747 Calculator

Given Input numbers are 540, 738, 816, 747

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (540, 738, 816, 747) = 3.

Given numbers are 540, 738, 816, 747

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 738 are 2 x 3 x 3 x 41

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 540, 738, 816, 747 is 3.

Given numbers are 540, 738, 816, 747

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

Apply this formula for all numbers.

Step1:

LCM(540, 738) = 22140

GCD(540, 738) = ( 540 x 738 ) / 22140

= 540 / 738

= 540

Step2:

LCM(18, 816) = 2448

GCD(18, 816) = ( 18 x 816 ) / 2448

= 18 / 816

= 18

Step3:

LCM(6, 747) = 1494

GCD(6, 747) = ( 6 x 747 ) / 1494

= 6 / 747

= 6

So, Greatest Common Divisor of 540, 738, 816, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 628, 557, 773
• GCD of 747, 725, 951, 410
• GCD of 925, 795, 242, 489
• GCD of 623, 762, 587, 782
• GCD of 626, 156, 468, 206

Given numbers are 540, 738, 816, 747
The greatest common divisor of numbers 540, 738, 816, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 738, 816, 747 is 3.

1. What is the GCD of 540, 738, 816, 747?

GCD of given numbers 540, 738, 816, 747 is 3

2. How to calculate the greatest common divisor of 540, 738, 816, 747?

We can find the highest common divisor of 540, 738, 816, 747 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, 738, 816, 747 i.e 3.

3. How can I use the GCD of 540, 738, 816, 747Calculator?

Out the numbers 540, 738, 816, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.