GCD of 498, 315, 705, 798 Calculator

Given Input numbers are 498, 315, 705, 798

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (498, 315, 705, 798) = 3.

Given numbers are 498, 315, 705, 798

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 705 are 3 x 5 x 47

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 498, 315, 705, 798 is 3.

Given numbers are 498, 315, 705, 798

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

Apply this formula for all numbers.

Step1:

LCM(498, 315) = 52290

GCD(498, 315) = ( 498 x 315 ) / 52290

= 498 / 315

= 498

Step2:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

Step3:

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

= 3 / 798

= 3

So, Greatest Common Divisor of 498, 315, 705, 798 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 271, 467, 693
• GCD of 704, 570, 591, 636
• GCD of 366, 442, 411, 724
• GCD of 666, 662, 400, 295
• GCD of 805, 895, 992, 705

Given numbers are 498, 315, 705, 798
The greatest common divisor of numbers 498, 315, 705, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 315, 705, 798 is 3.

1. What is the GCD of 498, 315, 705, 798?

GCD of given numbers 498, 315, 705, 798 is 3

2. How to calculate the greatest common divisor of 498, 315, 705, 798?

We can find the highest common divisor of 498, 315, 705, 798 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, 315, 705, 798 i.e 3.

3. How can I use the GCD of 498, 315, 705, 798Calculator?

Out the numbers 498, 315, 705, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.