GCD of 170, 400, 214, 908 Calculator

Given Input numbers are 170, 400, 214, 908

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 (170, 400, 214, 908) = 2.

Given numbers are 170, 400, 214, 908

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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 170, 400, 214, 908 is 2.

Given numbers are 170, 400, 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(170, 400) = 6800

GCD(170, 400) = ( 170 x 400 ) / 6800

= 170 / 400

= 170

Step2:

LCM(10, 214) = 1070

GCD(10, 214) = ( 10 x 214 ) / 1070

= 10 / 214

= 10

Step3:

LCM(2, 908) = 908

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

= 2 / 908

= 2

So, Greatest Common Divisor of 170, 400, 214, 908 is 2

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Given numbers are 170, 400, 214, 908
The greatest common divisor of numbers 170, 400, 214, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 400, 214, 908 is 2.

1. What is the GCD of 170, 400, 214, 908?

GCD of given numbers 170, 400, 214, 908 is 2

2. How to calculate the greatest common divisor of 170, 400, 214, 908?

We can find the highest common divisor of 170, 400, 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 170, 400, 214, 908 i.e 2.

3. How can I use the GCD of 170, 400, 214, 908Calculator?

Out the numbers 170, 400, 214, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.