GCD of 108, 236, 214, 448 Calculator

Given Input numbers are 108, 236, 214, 448

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (108, 236, 214, 448) = 2.

Given numbers are 108, 236, 214, 448

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 236 are 2 x 2 x 59

Prime factors of 214 are 2 x 107

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 108, 236, 214, 448 is 2.

Given numbers are 108, 236, 214, 448

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

Apply this formula for all numbers.

Step1:

LCM(108, 236) = 6372

GCD(108, 236) = ( 108 x 236 ) / 6372

= 108 / 236

= 108

Step2:

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

= 4 / 214

= 4

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 108, 236, 214, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 840, 891, 275
• GCD of 712, 906, 422, 435
• GCD of 625, 735, 564, 102
• GCD of 438, 585, 368, 180
• GCD of 693, 313, 316, 341

Given numbers are 108, 236, 214, 448
The greatest common divisor of numbers 108, 236, 214, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 236, 214, 448 is 2.

1. What is the GCD of 108, 236, 214, 448?

GCD of given numbers 108, 236, 214, 448 is 2

2. How to calculate the greatest common divisor of 108, 236, 214, 448?

We can find the highest common divisor of 108, 236, 214, 448 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 108, 236, 214, 448 i.e 2.

3. How can I use the GCD of 108, 236, 214, 448Calculator?

Out the numbers 108, 236, 214, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.