GCD of 238, 212, 168, 854 Calculator

Given Input numbers are 238, 212, 168, 854

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (238, 212, 168, 854) = 2.

Given numbers are 238, 212, 168, 854

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 212 are 2 x 2 x 53

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

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 2¹

Therefore, GCD of 238, 212, 168, 854 is 2.

Given numbers are 238, 212, 168, 854

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

Apply this formula for all numbers.

Step1:

LCM(238, 212) = 25228

GCD(238, 212) = ( 238 x 212 ) / 25228

= 238 / 212

= 238

Step2:

LCM(2, 168) = 168

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

= 2 / 168

= 2

Step3:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2

So, Greatest Common Divisor of 238, 212, 168, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 136, 411, 492
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Given numbers are 238, 212, 168, 854
The greatest common divisor of numbers 238, 212, 168, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 212, 168, 854 is 2.

1. What is the GCD of 238, 212, 168, 854?

GCD of given numbers 238, 212, 168, 854 is 2

2. How to calculate the greatest common divisor of 238, 212, 168, 854?

We can find the highest common divisor of 238, 212, 168, 854 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 238, 212, 168, 854 i.e 2.

3. How can I use the GCD of 238, 212, 168, 854Calculator?

Out the numbers 238, 212, 168, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.