GCD of 208, 418, 388, 120 Calculator

Given Input numbers are 208, 418, 388, 120

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (208, 418, 388, 120) = 2.

Given numbers are 208, 418, 388, 120

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 418 are 2 x 11 x 19

Prime factors of 388 are 2 x 2 x 97

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 208, 418, 388, 120 is 2.

Given numbers are 208, 418, 388, 120

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

Apply this formula for all numbers.

Step1:

LCM(208, 418) = 43472

GCD(208, 418) = ( 208 x 418 ) / 43472

= 208 / 418

= 208

Step2:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 208, 418, 388, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 874, 322, 616
• GCD of 231, 653, 252, 681
• GCD of 716, 139, 242, 352
• GCD of 354, 865, 541, 810
• GCD of 656, 730, 810, 355

Given numbers are 208, 418, 388, 120
The greatest common divisor of numbers 208, 418, 388, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 418, 388, 120 is 2.

1. What is the GCD of 208, 418, 388, 120?

GCD of given numbers 208, 418, 388, 120 is 2

2. How to calculate the greatest common divisor of 208, 418, 388, 120?

We can find the highest common divisor of 208, 418, 388, 120 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 208, 418, 388, 120 i.e 2.

3. How can I use the GCD of 208, 418, 388, 120Calculator?

Out the numbers 208, 418, 388, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.