GCD of 540, 676, 41, 489 Calculator

Given Input numbers are 540, 676, 41, 489

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 41 :

The positive integer divisors of 41 that completely divides 41 are.

1, 41

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (540, 676, 41, 489) = 1.

Given numbers are 540, 676, 41, 489

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 676 are 2 x 2 x 13 x 13

Prime factors of 41 are 41

Prime factors of 489 are 3 x 163

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 540, 676, 41, 489

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

Apply this formula for all numbers.

Step1:

LCM(540, 676) = 91260

GCD(540, 676) = ( 540 x 676 ) / 91260

= 540 / 676

= 540

Step2:

LCM(4, 41) = 164

GCD(4, 41) = ( 4 x 41 ) / 164

= 4 / 41

= 4

Step3:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1

So, Greatest Common Divisor of 540, 676, 41, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 235, 75, 656
• GCD of 254, 582, 96, 728
• GCD of 376, 501, 80, 798
• GCD of 979, 842, 17, 687
• GCD of 499, 684, 34, 869

Given numbers are 540, 676, 41, 489
The greatest common divisor of numbers 540, 676, 41, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 676, 41, 489 is 1.

1. What is the GCD of 540, 676, 41, 489?

GCD of given numbers 540, 676, 41, 489 is 1

2. How to calculate the greatest common divisor of 540, 676, 41, 489?

We can find the highest common divisor of 540, 676, 41, 489 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, 676, 41, 489 i.e 1.

3. How can I use the GCD of 540, 676, 41, 489Calculator?

Out the numbers 540, 676, 41, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.