GCD of 309, 523, 10, 749 Calculator

Given Input numbers are 309, 523, 10, 749

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 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 309, 523, 10, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 523, 10, 749 is 1.

Therefore, GCD of numbers 309, 523, 10, 749 is 1

Given Input Data is 309, 523, 10, 749

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 523 is 523

Prime Factorization of 10 is 2 x 5

Prime Factorization of 749 is 7 x 107

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, 523) = 161607

GCD(309, 523) = ( 309 x 523 ) / 161607

GCD(309, 523) = 161607 / 161607

GCD(309, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 309, 523, 10, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 137, 94, 759
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• GCD of 214, 737, 69, 922
• GCD of 157, 619, 75, 226

1. What is the GCD of 309, 523, 10, 749?

GCD of 309, 523, 10, 749 is 1

2. Where do I get the detailed procedure to find GCD of 309, 523, 10, 749?

You can find a detailed procedure to find GCD of 309, 523, 10, 749 on our page.

3. How to find GCD of 309, 523, 10, 749 on a calculator?

You can find the GCD of 309, 523, 10, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.