GCD of 498, 339, 213, 687 Calculator

Given Input numbers are 498, 339, 213, 687

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 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (498, 339, 213, 687) = 3.

Given numbers are 498, 339, 213, 687

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 339 are 3 x 113

Prime factors of 213 are 3 x 71

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 498, 339, 213, 687 is 3.

Given numbers are 498, 339, 213, 687

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

Apply this formula for all numbers.

Step1:

LCM(498, 339) = 56274

GCD(498, 339) = ( 498 x 339 ) / 56274

= 498 / 339

= 498

Step2:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 498, 339, 213, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 206, 820, 681
• GCD of 393, 575, 345, 352
• GCD of 351, 380, 677, 750
• GCD of 452, 800, 137, 302
• GCD of 686, 885, 192, 254

Given numbers are 498, 339, 213, 687
The greatest common divisor of numbers 498, 339, 213, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 339, 213, 687 is 3.

1. What is the GCD of 498, 339, 213, 687?

GCD of given numbers 498, 339, 213, 687 is 3

2. How to calculate the greatest common divisor of 498, 339, 213, 687?

We can find the highest common divisor of 498, 339, 213, 687 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, 339, 213, 687 i.e 3.

3. How can I use the GCD of 498, 339, 213, 687Calculator?

Out the numbers 498, 339, 213, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.