GCD of 540, 744, 484, 944 Calculator

Given Input numbers are 540, 744, 484, 944

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

GCD of numbers is the greatest common divisor

So, the GCD (540, 744, 484, 944) = 4.

Given numbers are 540, 744, 484, 944

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 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

The highest common occurrence is 2²

Therefore, GCD of 540, 744, 484, 944 is 4.

Given numbers are 540, 744, 484, 944

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

Apply this formula for all numbers.

Step1:

LCM(540, 744) = 33480

GCD(540, 744) = ( 540 x 744 ) / 33480

= 540 / 744

= 540

Step2:

LCM(12, 484) = 1452

GCD(12, 484) = ( 12 x 484 ) / 1452

= 12 / 484

= 12

Step3:

LCM(4, 944) = 944

GCD(4, 944) = ( 4 x 944 ) / 944

= 4 / 944

= 4

So, Greatest Common Divisor of 540, 744, 484, 944 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 708, 436, 792
• GCD of 818, 802, 379, 182
• GCD of 216, 530, 145, 187
• GCD of 400, 390, 725, 887
• GCD of 811, 136, 582, 299

Given numbers are 540, 744, 484, 944
The greatest common divisor of numbers 540, 744, 484, 944 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 744, 484, 944 is 4.

1. What is the GCD of 540, 744, 484, 944?

GCD of given numbers 540, 744, 484, 944 is 4

2. How to calculate the greatest common divisor of 540, 744, 484, 944?

We can find the highest common divisor of 540, 744, 484, 944 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, 744, 484, 944 i.e 4.

3. How can I use the GCD of 540, 744, 484, 944Calculator?

Out the numbers 540, 744, 484, 944 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.