GCD of 200, 344, 302 Calculator

Given Input numbers are 200, 344, 302

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (200, 344, 302) = 2.

Given numbers are 200, 344, 302

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 344 are 2 x 2 x 2 x 43

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 200, 344, 302 is 2.

Given numbers are 200, 344, 302

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

Apply this formula for all numbers.

Step1:

LCM(200, 344) = 8600

GCD(200, 344) = ( 200 x 344 ) / 8600

= 200 / 344

= 200

Step2:

LCM(8, 302) = 1208

GCD(8, 302) = ( 8 x 302 ) / 1208

= 8 / 302

= 8

So, Greatest Common Divisor of 200, 344, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 784, 380
• GCD of 167, 278, 486
• GCD of 986, 445, 650
• GCD of 724, 379, 144
• GCD of 144, 838, 921

Given numbers are 200, 344, 302
The greatest common divisor of numbers 200, 344, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 344, 302 is 2.

1. What is the GCD of 200, 344, 302?

GCD of given numbers 200, 344, 302 is 2

2. How to calculate the greatest common divisor of 200, 344, 302?

We can find the highest common divisor of 200, 344, 302 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, 344, 302 i.e 2.

3. How can I use the GCD of 200, 344, 302Calculator?

Out the numbers 200, 344, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.