GCD of 288, 202, 520, 498 Calculator

Given Input numbers are 288, 202, 520, 498

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

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

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 498 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (288, 202, 520, 498) = 2.

Given numbers are 288, 202, 520, 498

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 202 are 2 x 101

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 288, 202, 520, 498 is 2.

Given numbers are 288, 202, 520, 498

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

Apply this formula for all numbers.

Step1:

LCM(288, 202) = 29088

GCD(288, 202) = ( 288 x 202 ) / 29088

= 288 / 202

= 288

Step2:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2

Step3:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

So, Greatest Common Divisor of 288, 202, 520, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 665, 132, 843
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• GCD of 330, 921, 443, 628
• GCD of 877, 915, 372, 346
• GCD of 458, 840, 200, 157

Given numbers are 288, 202, 520, 498
The greatest common divisor of numbers 288, 202, 520, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 202, 520, 498 is 2.

1. What is the GCD of 288, 202, 520, 498?

GCD of given numbers 288, 202, 520, 498 is 2

2. How to calculate the greatest common divisor of 288, 202, 520, 498?

We can find the highest common divisor of 288, 202, 520, 498 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 288, 202, 520, 498 i.e 2.

3. How can I use the GCD of 288, 202, 520, 498Calculator?

Out the numbers 288, 202, 520, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.