GCD of 267, 460, 709 Calculator

Given Input numbers are 267, 460, 709

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 267, 460, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 460, 709 is 1.

Therefore, GCD of numbers 267, 460, 709 is 1

Given Input Data is 267, 460, 709

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 709 is 709

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, 460) = 122820

GCD(267, 460) = ( 267 x 460 ) / 122820

GCD(267, 460) = 122820 / 122820

GCD(267, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 267, 460, 709 is 1

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1. What is the GCD of 267, 460, 709?

GCD of 267, 460, 709 is 1

2. Where do I get the detailed procedure to find GCD of 267, 460, 709?

You can find a detailed procedure to find GCD of 267, 460, 709 on our page.

3. How to find GCD of 267, 460, 709 on a calculator?

You can find the GCD of 267, 460, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.