GCD of 309, 913, 78, 607 Calculator

Given Input numbers are 309, 913, 78, 607

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

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 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 309, 913, 78, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 913, 78, 607 is 1.

Therefore, GCD of numbers 309, 913, 78, 607 is 1

Given Input Data is 309, 913, 78, 607

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 913 is 11 x 83

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 607 is 607

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(309, 913) = 282117

GCD(309, 913) = ( 309 x 913 ) / 282117

GCD(309, 913) = 282117 / 282117

GCD(309, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 1

GCD of 309, 913, 78, 607 is 1

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• GCD of 704, 115, 76, 577
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1. What is the GCD of 309, 913, 78, 607?

GCD of 309, 913, 78, 607 is 1

2. Where do I get the detailed procedure to find GCD of 309, 913, 78, 607?

You can find a detailed procedure to find GCD of 309, 913, 78, 607 on our page.

3. How to find GCD of 309, 913, 78, 607 on a calculator?

You can find the GCD of 309, 913, 78, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.