GCD of 200, 214, 616, 168 Calculator

Given Input numbers are 200, 214, 616, 168

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (200, 214, 616, 168) = 2.

Given numbers are 200, 214, 616, 168

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 214 are 2 x 107

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 200, 214, 616, 168 is 2.

Given numbers are 200, 214, 616, 168

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

Apply this formula for all numbers.

Step1:

LCM(200, 214) = 21400

GCD(200, 214) = ( 200 x 214 ) / 21400

= 200 / 214

= 200

Step2:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

Step3:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2

So, Greatest Common Divisor of 200, 214, 616, 168 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 810, 403, 317
• GCD of 877, 775, 948, 419
• GCD of 207, 328, 106, 719
• GCD of 788, 113, 577, 787
• GCD of 615, 141, 800, 744

Given numbers are 200, 214, 616, 168
The greatest common divisor of numbers 200, 214, 616, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 214, 616, 168 is 2.

1. What is the GCD of 200, 214, 616, 168?

GCD of given numbers 200, 214, 616, 168 is 2

2. How to calculate the greatest common divisor of 200, 214, 616, 168?

We can find the highest common divisor of 200, 214, 616, 168 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, 214, 616, 168 i.e 2.

3. How can I use the GCD of 200, 214, 616, 168Calculator?

Out the numbers 200, 214, 616, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.