GCD of 918, 546, 558, 812 Calculator

Given Input numbers are 918, 546, 558, 812

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

GCD of numbers is the greatest common divisor

So, the GCD (918, 546, 558, 812) = 2.

Given numbers are 918, 546, 558, 812

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 812 are 2 x 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 918, 546, 558, 812 is 2.

Given numbers are 918, 546, 558, 812

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

Apply this formula for all numbers.

Step1:

LCM(918, 546) = 83538

GCD(918, 546) = ( 918 x 546 ) / 83538

= 918 / 546

= 918

Step2:

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

= 6 / 558

= 6

Step3:

LCM(6, 812) = 2436

GCD(6, 812) = ( 6 x 812 ) / 2436

= 6 / 812

= 6

So, Greatest Common Divisor of 918, 546, 558, 812 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 548, 353, 490
• GCD of 824, 957, 346, 566
• GCD of 605, 586, 983, 484
• GCD of 709, 615, 337, 238
• GCD of 593, 369, 723, 589

Given numbers are 918, 546, 558, 812
The greatest common divisor of numbers 918, 546, 558, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 546, 558, 812 is 2.

1. What is the GCD of 918, 546, 558, 812?

GCD of given numbers 918, 546, 558, 812 is 2

2. How to calculate the greatest common divisor of 918, 546, 558, 812?

We can find the highest common divisor of 918, 546, 558, 812 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 918, 546, 558, 812 i.e 2.

3. How can I use the GCD of 918, 546, 558, 812Calculator?

Out the numbers 918, 546, 558, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.