GCD of 338, 612, 200, 514 Calculator

Given Input numbers are 338, 612, 200, 514

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

GCD of numbers is the greatest common divisor

So, the GCD (338, 612, 200, 514) = 2.

Given numbers are 338, 612, 200, 514

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

Prime factors of 514 are 2 x 257

The highest common occurrence is 2¹

Therefore, GCD of 338, 612, 200, 514 is 2.

Given numbers are 338, 612, 200, 514

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

Apply this formula for all numbers.

Step1:

LCM(338, 612) = 103428

GCD(338, 612) = ( 338 x 612 ) / 103428

= 338 / 612

= 338

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

= 2 / 514

= 2

So, Greatest Common Divisor of 338, 612, 200, 514 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 779, 180, 447
• GCD of 590, 212, 763, 751
• GCD of 371, 791, 255, 658
• GCD of 370, 307, 107, 270
• GCD of 992, 185, 981, 329

Given numbers are 338, 612, 200, 514
The greatest common divisor of numbers 338, 612, 200, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 612, 200, 514 is 2.

1. What is the GCD of 338, 612, 200, 514?

GCD of given numbers 338, 612, 200, 514 is 2

2. How to calculate the greatest common divisor of 338, 612, 200, 514?

We can find the highest common divisor of 338, 612, 200, 514 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, 612, 200, 514 i.e 2.

3. How can I use the GCD of 338, 612, 200, 514Calculator?

Out the numbers 338, 612, 200, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.