GCD of 120, 395, 418, 214 Calculator

Given Input numbers are 120, 395, 418, 214

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

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

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 418 :

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

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

Divisors of 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (120, 395, 418, 214) = 1.

Given numbers are 120, 395, 418, 214

The list of prime factors of all numbers are

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

Prime factors of 395 are 5 x 79

Prime factors of 418 are 2 x 11 x 19

Prime factors of 214 are 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 120, 395, 418, 214

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

Apply this formula for all numbers.

Step1:

LCM(120, 395) = 9480

GCD(120, 395) = ( 120 x 395 ) / 9480

= 120 / 395

= 120

Step2:

LCM(5, 418) = 2090

GCD(5, 418) = ( 5 x 418 ) / 2090

= 5 / 418

= 5

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 120, 395, 418, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 790, 764, 705
• GCD of 727, 823, 831, 239
• GCD of 158, 993, 209, 714
• GCD of 392, 386, 787, 478
• GCD of 515, 752, 991, 866

Given numbers are 120, 395, 418, 214
The greatest common divisor of numbers 120, 395, 418, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 395, 418, 214 is 1.

1. What is the GCD of 120, 395, 418, 214?

GCD of given numbers 120, 395, 418, 214 is 1

2. How to calculate the greatest common divisor of 120, 395, 418, 214?

We can find the highest common divisor of 120, 395, 418, 214 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 120, 395, 418, 214 i.e 1.

3. How can I use the GCD of 120, 395, 418, 214Calculator?

Out the numbers 120, 395, 418, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.