GCD of 267, 214, 318, 120 Calculator

Given Input numbers are 267, 214, 318, 120

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

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

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 (267, 214, 318, 120) = 1.

Given numbers are 267, 214, 318, 120

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 214 are 2 x 107

Prime factors of 318 are 2 x 3 x 53

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

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

Given numbers are 267, 214, 318, 120

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

Apply this formula for all numbers.

Step1:

LCM(267, 214) = 57138

GCD(267, 214) = ( 267 x 214 ) / 57138

= 267 / 214

= 267

Step2:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 267, 214, 318, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 646, 321, 696
• GCD of 746, 380, 387, 893
• GCD of 481, 685, 764, 890
• GCD of 502, 946, 855, 909
• GCD of 515, 576, 366, 218

Given numbers are 267, 214, 318, 120
The greatest common divisor of numbers 267, 214, 318, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 214, 318, 120 is 1.

1. What is the GCD of 267, 214, 318, 120?

GCD of given numbers 267, 214, 318, 120 is 1

2. How to calculate the greatest common divisor of 267, 214, 318, 120?

We can find the highest common divisor of 267, 214, 318, 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 267, 214, 318, 120 i.e 1.

3. How can I use the GCD of 267, 214, 318, 120Calculator?

Out the numbers 267, 214, 318, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.