GCD of 714, 108, 495, 267 Calculator

Given Input numbers are 714, 108, 495, 267

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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 (714, 108, 495, 267) = 3.

Given numbers are 714, 108, 495, 267

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 267 are 3 x 89

The highest common occurrence is 3¹

Therefore, GCD of 714, 108, 495, 267 is 3.

Given numbers are 714, 108, 495, 267

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

Apply this formula for all numbers.

Step1:

LCM(714, 108) = 12852

GCD(714, 108) = ( 714 x 108 ) / 12852

= 714 / 108

= 714

Step2:

LCM(6, 495) = 990

GCD(6, 495) = ( 6 x 495 ) / 990

= 6 / 495

= 6

Step3:

LCM(3, 267) = 267

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

= 3 / 267

= 3

So, Greatest Common Divisor of 714, 108, 495, 267 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 160, 466, 781
• GCD of 708, 559, 778, 278
• GCD of 642, 201, 926, 236
• GCD of 807, 850, 837, 291
• GCD of 196, 428, 267, 183

Given numbers are 714, 108, 495, 267
The greatest common divisor of numbers 714, 108, 495, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 108, 495, 267 is 3.

1. What is the GCD of 714, 108, 495, 267?

GCD of given numbers 714, 108, 495, 267 is 3

2. How to calculate the greatest common divisor of 714, 108, 495, 267?

We can find the highest common divisor of 714, 108, 495, 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 714, 108, 495, 267 i.e 3.

3. How can I use the GCD of 714, 108, 495, 267Calculator?

Out the numbers 714, 108, 495, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.