GCD of 998, 268, 496, 424 Calculator

Given Input numbers are 998, 268, 496, 424

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (998, 268, 496, 424) = 2.

Given numbers are 998, 268, 496, 424

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 268 are 2 x 2 x 67

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 998, 268, 496, 424 is 2.

Given numbers are 998, 268, 496, 424

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

Apply this formula for all numbers.

Step1:

LCM(998, 268) = 133732

GCD(998, 268) = ( 998 x 268 ) / 133732

= 998 / 268

= 998

Step2:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2

Step3:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

So, Greatest Common Divisor of 998, 268, 496, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 114, 908, 806
• GCD of 312, 574, 546, 406
• GCD of 690, 627, 210, 719
• GCD of 492, 860, 119, 917
• GCD of 549, 167, 556, 190

Given numbers are 998, 268, 496, 424
The greatest common divisor of numbers 998, 268, 496, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 268, 496, 424 is 2.

1. What is the GCD of 998, 268, 496, 424?

GCD of given numbers 998, 268, 496, 424 is 2

2. How to calculate the greatest common divisor of 998, 268, 496, 424?

We can find the highest common divisor of 998, 268, 496, 424 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 998, 268, 496, 424 i.e 2.

3. How can I use the GCD of 998, 268, 496, 424Calculator?

Out the numbers 998, 268, 496, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.