GCD of 168, 714, 214, 908 Calculator

Given Input numbers are 168, 714, 214, 908

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

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

GCD of numbers is the greatest common divisor

So, the GCD (168, 714, 214, 908) = 2.

Given numbers are 168, 714, 214, 908

The list of prime factors of all numbers are

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 214 are 2 x 107

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 168, 714, 214, 908 is 2.

Given numbers are 168, 714, 214, 908

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

Apply this formula for all numbers.

Step1:

LCM(168, 714) = 2856

GCD(168, 714) = ( 168 x 714 ) / 2856

= 168 / 714

= 168

Step2:

LCM(42, 214) = 4494

GCD(42, 214) = ( 42 x 214 ) / 4494

= 42 / 214

= 42

Step3:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2

So, Greatest Common Divisor of 168, 714, 214, 908 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 734, 622, 743
• GCD of 857, 643, 516, 902
• GCD of 885, 253, 796, 506
• GCD of 515, 564, 668, 461
• GCD of 794, 784, 500, 185

Given numbers are 168, 714, 214, 908
The greatest common divisor of numbers 168, 714, 214, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 714, 214, 908 is 2.

1. What is the GCD of 168, 714, 214, 908?

GCD of given numbers 168, 714, 214, 908 is 2

2. How to calculate the greatest common divisor of 168, 714, 214, 908?

We can find the highest common divisor of 168, 714, 214, 908 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 168, 714, 214, 908 i.e 2.

3. How can I use the GCD of 168, 714, 214, 908Calculator?

Out the numbers 168, 714, 214, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.