GCD of 709, 724, 914 Calculator

Given Input numbers are 709, 724, 914

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

Divisors of 709

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

1, 709

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 914

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

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 709, 724, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 724, 914 is 1.

Therefore, GCD of numbers 709, 724, 914 is 1

Given Input Data is 709, 724, 914

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

Prime Factorization of 709 is 709

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 914 is 2 x 457

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(709, 724) = 513316

GCD(709, 724) = ( 709 x 724 ) / 513316

GCD(709, 724) = 513316 / 513316

GCD(709, 724) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 709, 724, 914 is 1

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1. What is the GCD of 709, 724, 914?

GCD of 709, 724, 914 is 1

2. Where do I get the detailed procedure to find GCD of 709, 724, 914?

You can find a detailed procedure to find GCD of 709, 724, 914 on our page.

3. How to find GCD of 709, 724, 914 on a calculator?

You can find the GCD of 709, 724, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.