GCD of 267, 384, 644, 349 Calculator

Given Input numbers are 267, 384, 644, 349

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (267, 384, 644, 349) = 1.

Given numbers are 267, 384, 644, 349

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 349 are 349

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

Given numbers are 267, 384, 644, 349

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

Apply this formula for all numbers.

Step1:

LCM(267, 384) = 34176

GCD(267, 384) = ( 267 x 384 ) / 34176

= 267 / 384

= 267

Step2:

LCM(3, 644) = 1932

GCD(3, 644) = ( 3 x 644 ) / 1932

= 3 / 644

= 3

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 267, 384, 644, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 540, 763, 897
• GCD of 888, 991, 157, 999
• GCD of 766, 832, 452, 572
• GCD of 845, 898, 606, 862
• GCD of 274, 465, 319, 857

Given numbers are 267, 384, 644, 349
The greatest common divisor of numbers 267, 384, 644, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 384, 644, 349 is 1.

1. What is the GCD of 267, 384, 644, 349?

GCD of given numbers 267, 384, 644, 349 is 1

2. How to calculate the greatest common divisor of 267, 384, 644, 349?

We can find the highest common divisor of 267, 384, 644, 349 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, 384, 644, 349 i.e 1.

3. How can I use the GCD of 267, 384, 644, 349Calculator?

Out the numbers 267, 384, 644, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.