GCD of 248, 168, 490, 498 Calculator

Given Input numbers are 248, 168, 490, 498

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 (248, 168, 490, 498) = 2.

Given numbers are 248, 168, 490, 498

The list of prime factors of all numbers are

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 248, 168, 490, 498 is 2.

Given numbers are 248, 168, 490, 498

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

Apply this formula for all numbers.

Step1:

LCM(248, 168) = 5208

GCD(248, 168) = ( 248 x 168 ) / 5208

= 248 / 168

= 248

Step2:

LCM(8, 490) = 1960

GCD(8, 490) = ( 8 x 490 ) / 1960

= 8 / 490

= 8

Step3:

LCM(2, 498) = 498

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

= 2 / 498

= 2

So, Greatest Common Divisor of 248, 168, 490, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 450, 642, 796
• GCD of 286, 789, 146, 620
• GCD of 929, 122, 210, 899
• GCD of 172, 353, 266, 354
• GCD of 769, 863, 992, 674

Given numbers are 248, 168, 490, 498
The greatest common divisor of numbers 248, 168, 490, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 168, 490, 498 is 2.

1. What is the GCD of 248, 168, 490, 498?

GCD of given numbers 248, 168, 490, 498 is 2

2. How to calculate the greatest common divisor of 248, 168, 490, 498?

We can find the highest common divisor of 248, 168, 490, 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 248, 168, 490, 498 i.e 2.

3. How can I use the GCD of 248, 168, 490, 498Calculator?

Out the numbers 248, 168, 490, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.