GCD of 200, 992, 992, 338 Calculator

Given Input numbers are 200, 992, 992, 338

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (200, 992, 992, 338) = 2.

Given numbers are 200, 992, 992, 338

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 200, 992, 992, 338 is 2.

Given numbers are 200, 992, 992, 338

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

Apply this formula for all numbers.

Step1:

LCM(200, 992) = 24800

GCD(200, 992) = ( 200 x 992 ) / 24800

= 200 / 992

= 200

Step2:

LCM(8, 992) = 992

GCD(8, 992) = ( 8 x 992 ) / 992

= 8 / 992

= 8

Step3:

LCM(8, 338) = 1352

GCD(8, 338) = ( 8 x 338 ) / 1352

= 8 / 338

= 8

So, Greatest Common Divisor of 200, 992, 992, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 305, 303, 569
• GCD of 646, 211, 445, 899
• GCD of 409, 130, 845, 761
• GCD of 359, 186, 469, 240
• GCD of 429, 499, 836, 210

Given numbers are 200, 992, 992, 338
The greatest common divisor of numbers 200, 992, 992, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 992, 992, 338 is 2.

1. What is the GCD of 200, 992, 992, 338?

GCD of given numbers 200, 992, 992, 338 is 2

2. How to calculate the greatest common divisor of 200, 992, 992, 338?

We can find the highest common divisor of 200, 992, 992, 338 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 200, 992, 992, 338 i.e 2.

3. How can I use the GCD of 200, 992, 992, 338Calculator?

Out the numbers 200, 992, 992, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.