GCD of 267, 914, 508, 794 Calculator

Given Input numbers are 267, 914, 508, 794

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 267, 914, 508, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 914, 508, 794 is 1.

Therefore, GCD of numbers 267, 914, 508, 794 is 1

Given Input Data is 267, 914, 508, 794

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 914 is 2 x 457

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 794 is 2 x 397

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, 914) = 244038

GCD(267, 914) = ( 267 x 914 ) / 244038

GCD(267, 914) = 244038 / 244038

GCD(267, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

GCD of 267, 914, 508, 794 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 563, 798, 276
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• GCD of 301, 585, 841, 217

1. What is the GCD of 267, 914, 508, 794?

GCD of 267, 914, 508, 794 is 1

2. Where do I get the detailed procedure to find GCD of 267, 914, 508, 794?

You can find a detailed procedure to find GCD of 267, 914, 508, 794 on our page.

3. How to find GCD of 267, 914, 508, 794 on a calculator?

You can find the GCD of 267, 914, 508, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.