GCD of 549, 543, 537, 138 Calculator

Given Input numbers are 549, 543, 537, 138

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

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (549, 543, 537, 138) = 3.

Given numbers are 549, 543, 537, 138

The list of prime factors of all numbers are

Prime factors of 549 are 3 x 3 x 61

Prime factors of 543 are 3 x 181

Prime factors of 537 are 3 x 179

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 549, 543, 537, 138 is 3.

Given numbers are 549, 543, 537, 138

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

Apply this formula for all numbers.

Step1:

LCM(549, 543) = 99369

GCD(549, 543) = ( 549 x 543 ) / 99369

= 549 / 543

= 549

Step2:

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

= 3 / 537

= 3

Step3:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

So, Greatest Common Divisor of 549, 543, 537, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 877, 224, 654
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• GCD of 691, 833, 962, 819

Given numbers are 549, 543, 537, 138
The greatest common divisor of numbers 549, 543, 537, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 549, 543, 537, 138 is 3.

1. What is the GCD of 549, 543, 537, 138?

GCD of given numbers 549, 543, 537, 138 is 3

2. How to calculate the greatest common divisor of 549, 543, 537, 138?

We can find the highest common divisor of 549, 543, 537, 138 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 549, 543, 537, 138 i.e 3.

3. How can I use the GCD of 549, 543, 537, 138Calculator?

Out the numbers 549, 543, 537, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.