GCD of 267, 849, 384, 423 Calculator

Given Input numbers are 267, 849, 384, 423

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 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

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 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (267, 849, 384, 423) = 3.

Given numbers are 267, 849, 384, 423

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 849 are 3 x 283

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

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 267, 849, 384, 423 is 3.

Given numbers are 267, 849, 384, 423

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

Apply this formula for all numbers.

Step1:

LCM(267, 849) = 75561

GCD(267, 849) = ( 267 x 849 ) / 75561

= 267 / 849

= 267

Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

Step3:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

So, Greatest Common Divisor of 267, 849, 384, 423 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 357, 536, 893
• GCD of 221, 621, 259, 495
• GCD of 534, 611, 592, 913
• GCD of 386, 652, 159, 292
• GCD of 523, 392, 691, 171

Given numbers are 267, 849, 384, 423
The greatest common divisor of numbers 267, 849, 384, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 849, 384, 423 is 3.

1. What is the GCD of 267, 849, 384, 423?

GCD of given numbers 267, 849, 384, 423 is 3

2. How to calculate the greatest common divisor of 267, 849, 384, 423?

We can find the highest common divisor of 267, 849, 384, 423 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, 849, 384, 423 i.e 3.

3. How can I use the GCD of 267, 849, 384, 423Calculator?

Out the numbers 267, 849, 384, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.