GCD of 492, 780, 138, 549 Calculator

Given Input numbers are 492, 780, 138, 549

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 138 :

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

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

Divisors of 549 :

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

1, 3, 9, 61, 183, 549

GCD of numbers is the greatest common divisor

So, the GCD (492, 780, 138, 549) = 3.

Given numbers are 492, 780, 138, 549

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 138 are 2 x 3 x 23

Prime factors of 549 are 3 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 492, 780, 138, 549 is 3.

Given numbers are 492, 780, 138, 549

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

Apply this formula for all numbers.

Step1:

LCM(492, 780) = 31980

GCD(492, 780) = ( 492 x 780 ) / 31980

= 492 / 780

= 492

Step2:

LCM(12, 138) = 276

GCD(12, 138) = ( 12 x 138 ) / 276

= 12 / 138

= 12

Step3:

LCM(6, 549) = 1098

GCD(6, 549) = ( 6 x 549 ) / 1098

= 6 / 549

= 6

So, Greatest Common Divisor of 492, 780, 138, 549 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 281, 918, 107
• GCD of 131, 217, 520, 619
• GCD of 314, 905, 875, 280
• GCD of 330, 382, 717, 333
• GCD of 815, 547, 606, 272

Given numbers are 492, 780, 138, 549
The greatest common divisor of numbers 492, 780, 138, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 780, 138, 549 is 3.

1. What is the GCD of 492, 780, 138, 549?

GCD of given numbers 492, 780, 138, 549 is 3

2. How to calculate the greatest common divisor of 492, 780, 138, 549?

We can find the highest common divisor of 492, 780, 138, 549 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 492, 780, 138, 549 i.e 3.

3. How can I use the GCD of 492, 780, 138, 549Calculator?

Out the numbers 492, 780, 138, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.