GCD of 267, 126, 78, 334 Calculator

Given Input numbers are 267, 126, 78, 334

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 267, 126, 78, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 126, 78, 334 is 1.

Therefore, GCD of numbers 267, 126, 78, 334 is 1

Given Input Data is 267, 126, 78, 334

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 267 is 3 x 89

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 334 is 2 x 167

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(267, 126) = 11214

GCD(267, 126) = ( 267 x 126 ) / 11214

GCD(267, 126) = 33642 / 11214

GCD(267, 126) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 334

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

LCM(3, 334) = 1002

GCD(3, 334) = ( 3 x 334 ) / 1002

GCD(3, 334) = 1002 / 1002

GCD(3, 334) = 1

GCD of 267, 126, 78, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 494, 28, 871
• GCD of 507, 280, 33, 704
• GCD of 803, 336, 58, 689
• GCD of 751, 220, 76, 582
• GCD of 852, 651, 83, 353

1. What is the GCD of 267, 126, 78, 334?

GCD of 267, 126, 78, 334 is 1

2. Where do I get the detailed procedure to find GCD of 267, 126, 78, 334?

You can find a detailed procedure to find GCD of 267, 126, 78, 334 on our page.

3. How to find GCD of 267, 126, 78, 334 on a calculator?

You can find the GCD of 267, 126, 78, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.