GCD of 168, 272, 498, 494 Calculator

Given Input numbers are 168, 272, 498, 494

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 498 :

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

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (168, 272, 498, 494) = 2.

Given numbers are 168, 272, 498, 494

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 498 are 2 x 3 x 83

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 168, 272, 498, 494 is 2.

Given numbers are 168, 272, 498, 494

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

Apply this formula for all numbers.

Step1:

LCM(168, 272) = 5712

GCD(168, 272) = ( 168 x 272 ) / 5712

= 168 / 272

= 168

Step2:

LCM(8, 498) = 1992

GCD(8, 498) = ( 8 x 498 ) / 1992

= 8 / 498

= 8

Step3:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

So, Greatest Common Divisor of 168, 272, 498, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 956, 627, 641
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• GCD of 604, 444, 634, 393

Given numbers are 168, 272, 498, 494
The greatest common divisor of numbers 168, 272, 498, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 272, 498, 494 is 2.

1. What is the GCD of 168, 272, 498, 494?

GCD of given numbers 168, 272, 498, 494 is 2

2. How to calculate the greatest common divisor of 168, 272, 498, 494?

We can find the highest common divisor of 168, 272, 498, 494 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 168, 272, 498, 494 i.e 2.

3. How can I use the GCD of 168, 272, 498, 494Calculator?

Out the numbers 168, 272, 498, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.