GCD of 498, 218, 982, 924 Calculator

Given Input numbers are 498, 218, 982, 924

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 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (498, 218, 982, 924) = 2.

Given numbers are 498, 218, 982, 924

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 218 are 2 x 109

Prime factors of 982 are 2 x 491

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 498, 218, 982, 924 is 2.

Given numbers are 498, 218, 982, 924

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

Apply this formula for all numbers.

Step1:

LCM(498, 218) = 54282

GCD(498, 218) = ( 498 x 218 ) / 54282

= 498 / 218

= 498

Step2:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 498, 218, 982, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 962, 989, 204
• GCD of 165, 208, 277, 285
• GCD of 202, 137, 151, 634
• GCD of 779, 276, 940, 564
• GCD of 274, 118, 342, 611

Given numbers are 498, 218, 982, 924
The greatest common divisor of numbers 498, 218, 982, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 218, 982, 924 is 2.

1. What is the GCD of 498, 218, 982, 924?

GCD of given numbers 498, 218, 982, 924 is 2

2. How to calculate the greatest common divisor of 498, 218, 982, 924?

We can find the highest common divisor of 498, 218, 982, 924 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, 218, 982, 924 i.e 2.

3. How can I use the GCD of 498, 218, 982, 924Calculator?

Out the numbers 498, 218, 982, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.