GCD of 338, 200, 26 Calculator

Given Input numbers are 338, 200, 26

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

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 26 :

The positive integer divisors of 26 that completely divides 26 are.

1, 2, 13, 26

GCD of numbers is the greatest common divisor

So, the GCD (338, 200, 26) = 2.

Given numbers are 338, 200, 26

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 26 are 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 338, 200, 26 is 2.

Given numbers are 338, 200, 26

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

Apply this formula for all numbers.

Step1:

LCM(338, 200) = 33800

GCD(338, 200) = ( 338 x 200 ) / 33800

= 338 / 200

= 338

Step2:

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

= 2 / 26

= 2

So, Greatest Common Divisor of 338, 200, 26 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 357, 43
• GCD of 451, 756, 40
• GCD of 940, 913, 48
• GCD of 898, 381, 48
• GCD of 118, 520, 95

Given numbers are 338, 200, 26
The greatest common divisor of numbers 338, 200, 26 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 200, 26 is 2.

1. What is the GCD of 338, 200, 26?

GCD of given numbers 338, 200, 26 is 2

2. How to calculate the greatest common divisor of 338, 200, 26?

We can find the highest common divisor of 338, 200, 26 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 338, 200, 26 i.e 2.

3. How can I use the GCD of 338, 200, 26Calculator?

Out the numbers 338, 200, 26 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.