GCD of 267, 756, 312, 477 Calculator

Given Input numbers are 267, 756, 312, 477

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 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

GCD of numbers is the greatest common divisor

So, the GCD (267, 756, 312, 477) = 3.

Given numbers are 267, 756, 312, 477

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 477 are 3 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 267, 756, 312, 477 is 3.

Given numbers are 267, 756, 312, 477

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

Apply this formula for all numbers.

Step1:

LCM(267, 756) = 67284

GCD(267, 756) = ( 267 x 756 ) / 67284

= 267 / 756

= 267

Step2:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

Step3:

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

= 3 / 477

= 3

So, Greatest Common Divisor of 267, 756, 312, 477 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 340, 617, 678
• GCD of 165, 912, 901, 856
• GCD of 256, 220, 633, 238
• GCD of 357, 564, 715, 186
• GCD of 154, 131, 226, 712

Given numbers are 267, 756, 312, 477
The greatest common divisor of numbers 267, 756, 312, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 756, 312, 477 is 3.

1. What is the GCD of 267, 756, 312, 477?

GCD of given numbers 267, 756, 312, 477 is 3

2. How to calculate the greatest common divisor of 267, 756, 312, 477?

We can find the highest common divisor of 267, 756, 312, 477 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, 756, 312, 477 i.e 3.

3. How can I use the GCD of 267, 756, 312, 477Calculator?

Out the numbers 267, 756, 312, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.