GCD of 120, 267, 291, 382 Calculator

Given Input numbers are 120, 267, 291, 382

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 267 :

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

1, 3, 89, 267

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (120, 267, 291, 382) = 1.

Given numbers are 120, 267, 291, 382

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 267 are 3 x 89

Prime factors of 291 are 3 x 97

Prime factors of 382 are 2 x 191

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

Given numbers are 120, 267, 291, 382

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

Apply this formula for all numbers.

Step1:

LCM(120, 267) = 10680

GCD(120, 267) = ( 120 x 267 ) / 10680

= 120 / 267

= 120

Step2:

LCM(3, 291) = 291

GCD(3, 291) = ( 3 x 291 ) / 291

= 3 / 291

= 3

Step3:

LCM(3, 382) = 1146

GCD(3, 382) = ( 3 x 382 ) / 1146

= 3 / 382

= 3

So, Greatest Common Divisor of 120, 267, 291, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 444, 381, 408
• GCD of 672, 902, 470, 102
• GCD of 253, 333, 182, 560
• GCD of 193, 257, 123, 402
• GCD of 312, 465, 924, 427

Given numbers are 120, 267, 291, 382
The greatest common divisor of numbers 120, 267, 291, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 267, 291, 382 is 1.

1. What is the GCD of 120, 267, 291, 382?

GCD of given numbers 120, 267, 291, 382 is 1

2. How to calculate the greatest common divisor of 120, 267, 291, 382?

We can find the highest common divisor of 120, 267, 291, 382 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, 267, 291, 382 i.e 1.

3. How can I use the GCD of 120, 267, 291, 382Calculator?

Out the numbers 120, 267, 291, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.