GCD of 918, 576, 498, 362 Calculator

Given Input numbers are 918, 576, 498, 362

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (918, 576, 498, 362) = 2.

Given numbers are 918, 576, 498, 362

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 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 498 are 2 x 3 x 83

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 918, 576, 498, 362 is 2.

Given numbers are 918, 576, 498, 362

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

Apply this formula for all numbers.

Step1:

LCM(918, 576) = 29376

GCD(918, 576) = ( 918 x 576 ) / 29376

= 918 / 576

= 918

Step2:

LCM(18, 498) = 1494

GCD(18, 498) = ( 18 x 498 ) / 1494

= 18 / 498

= 18

Step3:

LCM(6, 362) = 1086

GCD(6, 362) = ( 6 x 362 ) / 1086

= 6 / 362

= 6

So, Greatest Common Divisor of 918, 576, 498, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 502, 187, 101
• GCD of 406, 445, 507, 499
• GCD of 168, 637, 638, 411
• GCD of 132, 319, 288, 324
• GCD of 136, 873, 306, 116

Given numbers are 918, 576, 498, 362
The greatest common divisor of numbers 918, 576, 498, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 576, 498, 362 is 2.

1. What is the GCD of 918, 576, 498, 362?

GCD of given numbers 918, 576, 498, 362 is 2

2. How to calculate the greatest common divisor of 918, 576, 498, 362?

We can find the highest common divisor of 918, 576, 498, 362 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, 576, 498, 362 i.e 2.

3. How can I use the GCD of 918, 576, 498, 362Calculator?

Out the numbers 918, 576, 498, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.