GCD of 267, 249, 351, 708 Calculator

Given Input numbers are 267, 249, 351, 708

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 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (267, 249, 351, 708) = 3.

Given numbers are 267, 249, 351, 708

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 249 are 3 x 83

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 267, 249, 351, 708 is 3.

Given numbers are 267, 249, 351, 708

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

Apply this formula for all numbers.

Step1:

LCM(267, 249) = 22161

GCD(267, 249) = ( 267 x 249 ) / 22161

= 267 / 249

= 267

Step2:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

Step3:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3

So, Greatest Common Divisor of 267, 249, 351, 708 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 263, 999, 623
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• GCD of 752, 673, 611, 699
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• GCD of 370, 312, 409, 714

Given numbers are 267, 249, 351, 708
The greatest common divisor of numbers 267, 249, 351, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 249, 351, 708 is 3.

1. What is the GCD of 267, 249, 351, 708?

GCD of given numbers 267, 249, 351, 708 is 3

2. How to calculate the greatest common divisor of 267, 249, 351, 708?

We can find the highest common divisor of 267, 249, 351, 708 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, 249, 351, 708 i.e 3.

3. How can I use the GCD of 267, 249, 351, 708Calculator?

Out the numbers 267, 249, 351, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.