GCD of 768, 423, 276, 267 Calculator

Given Input numbers are 768, 423, 276, 267

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 423 :

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

1, 3, 9, 47, 141, 423

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 267 :

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

1, 3, 89, 267

GCD of numbers is the greatest common divisor

So, the GCD (768, 423, 276, 267) = 3.

Given numbers are 768, 423, 276, 267

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 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

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 267 are 3 x 89

The highest common occurrence is 3¹

Therefore, GCD of 768, 423, 276, 267 is 3.

Given numbers are 768, 423, 276, 267

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

Apply this formula for all numbers.

Step1:

LCM(768, 423) = 108288

GCD(768, 423) = ( 768 x 423 ) / 108288

= 768 / 423

= 768

Step2:

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

= 3 / 276

= 3

Step3:

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

= 3 / 267

= 3

So, Greatest Common Divisor of 768, 423, 276, 267 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 300, 177, 248
• GCD of 578, 548, 145, 471
• GCD of 481, 377, 507, 386
• GCD of 475, 490, 850, 705
• GCD of 575, 917, 475, 264

Given numbers are 768, 423, 276, 267
The greatest common divisor of numbers 768, 423, 276, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 423, 276, 267 is 3.

1. What is the GCD of 768, 423, 276, 267?

GCD of given numbers 768, 423, 276, 267 is 3

2. How to calculate the greatest common divisor of 768, 423, 276, 267?

We can find the highest common divisor of 768, 423, 276, 267 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 768, 423, 276, 267 i.e 3.

3. How can I use the GCD of 768, 423, 276, 267Calculator?

Out the numbers 768, 423, 276, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.