GCD of 232, 676, 442, 498 Calculator

Given Input numbers are 232, 676, 442, 498

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

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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 (232, 676, 442, 498) = 2.

Given numbers are 232, 676, 442, 498

The list of prime factors of all numbers are

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 442 are 2 x 13 x 17

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 232, 676, 442, 498 is 2.

Given numbers are 232, 676, 442, 498

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

Apply this formula for all numbers.

Step1:

LCM(232, 676) = 39208

GCD(232, 676) = ( 232 x 676 ) / 39208

= 232 / 676

= 232

Step2:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

Step3:

LCM(2, 498) = 498

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

= 2 / 498

= 2

So, Greatest Common Divisor of 232, 676, 442, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 978, 795, 331
• GCD of 648, 776, 565, 271
• GCD of 186, 493, 686, 753
• GCD of 258, 578, 508, 906
• GCD of 267, 137, 910, 860

Given numbers are 232, 676, 442, 498
The greatest common divisor of numbers 232, 676, 442, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 676, 442, 498 is 2.

1. What is the GCD of 232, 676, 442, 498?

GCD of given numbers 232, 676, 442, 498 is 2

2. How to calculate the greatest common divisor of 232, 676, 442, 498?

We can find the highest common divisor of 232, 676, 442, 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 232, 676, 442, 498 i.e 2.

3. How can I use the GCD of 232, 676, 442, 498Calculator?

Out the numbers 232, 676, 442, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.