GCD of 998, 348, 440, 650 Calculator

Given Input numbers are 998, 348, 440, 650

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (998, 348, 440, 650) = 2.

Given numbers are 998, 348, 440, 650

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 998, 348, 440, 650 is 2.

Given numbers are 998, 348, 440, 650

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

Apply this formula for all numbers.

Step1:

LCM(998, 348) = 173652

GCD(998, 348) = ( 998 x 348 ) / 173652

= 998 / 348

= 998

Step2:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

So, Greatest Common Divisor of 998, 348, 440, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 598, 793, 363
• GCD of 733, 646, 586, 360
• GCD of 352, 265, 396, 269
• GCD of 663, 571, 100, 644
• GCD of 428, 818, 154, 639

Given numbers are 998, 348, 440, 650
The greatest common divisor of numbers 998, 348, 440, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 348, 440, 650 is 2.

1. What is the GCD of 998, 348, 440, 650?

GCD of given numbers 998, 348, 440, 650 is 2

2. How to calculate the greatest common divisor of 998, 348, 440, 650?

We can find the highest common divisor of 998, 348, 440, 650 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, 348, 440, 650 i.e 2.

3. How can I use the GCD of 998, 348, 440, 650Calculator?

Out the numbers 998, 348, 440, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.