GCD of 498, 525, 303, 489 Calculator

Given Input numbers are 498, 525, 303, 489

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

Divisors of 498 :

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

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

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (498, 525, 303, 489) = 3.

Given numbers are 498, 525, 303, 489

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 303 are 3 x 101

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 498, 525, 303, 489 is 3.

Given numbers are 498, 525, 303, 489

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

Apply this formula for all numbers.

Step1:

LCM(498, 525) = 87150

GCD(498, 525) = ( 498 x 525 ) / 87150

= 498 / 525

= 498

Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

Step3:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3

So, Greatest Common Divisor of 498, 525, 303, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 360, 729, 738
• GCD of 821, 178, 874, 913
• GCD of 112, 783, 759, 517
• GCD of 251, 739, 630, 669
• GCD of 520, 264, 774, 836

Given numbers are 498, 525, 303, 489
The greatest common divisor of numbers 498, 525, 303, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 525, 303, 489 is 3.

1. What is the GCD of 498, 525, 303, 489?

GCD of given numbers 498, 525, 303, 489 is 3

2. How to calculate the greatest common divisor of 498, 525, 303, 489?

We can find the highest common divisor of 498, 525, 303, 489 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 498, 525, 303, 489 i.e 3.

3. How can I use the GCD of 498, 525, 303, 489Calculator?

Out the numbers 498, 525, 303, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.