GCD of 231, 249, 846, 498 Calculator

Given Input numbers are 231, 249, 846, 498

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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 (231, 249, 846, 498) = 3.

Given numbers are 231, 249, 846, 498

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 249 are 3 x 83

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 231, 249, 846, 498 is 3.

Given numbers are 231, 249, 846, 498

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

Apply this formula for all numbers.

Step1:

LCM(231, 249) = 19173

GCD(231, 249) = ( 231 x 249 ) / 19173

= 231 / 249

= 231

Step2:

LCM(3, 846) = 846

GCD(3, 846) = ( 3 x 846 ) / 846

= 3 / 846

= 3

Step3:

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

= 3 / 498

= 3

So, Greatest Common Divisor of 231, 249, 846, 498 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 718, 769, 939
• GCD of 910, 630, 364, 892
• GCD of 714, 691, 351, 731
• GCD of 997, 914, 368, 758
• GCD of 759, 496, 338, 585

Given numbers are 231, 249, 846, 498
The greatest common divisor of numbers 231, 249, 846, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 249, 846, 498 is 3.

1. What is the GCD of 231, 249, 846, 498?

GCD of given numbers 231, 249, 846, 498 is 3

2. How to calculate the greatest common divisor of 231, 249, 846, 498?

We can find the highest common divisor of 231, 249, 846, 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 231, 249, 846, 498 i.e 3.

3. How can I use the GCD of 231, 249, 846, 498Calculator?

Out the numbers 231, 249, 846, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.