GCD of 302, 749, 309, 103 Calculator

Given Input numbers are 302, 749, 309, 103

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 749

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

1, 7, 107, 749

Divisors of 309

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

1, 3, 103, 309

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 302, 749, 309, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 749, 309, 103 is 1.

Therefore, GCD of numbers 302, 749, 309, 103 is 1

Given Input Data is 302, 749, 309, 103

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 749 is 7 x 107

Prime Factorization of 309 is 3 x 103

Prime Factorization of 103 is 103

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(302, 749) = 226198

GCD(302, 749) = ( 302 x 749 ) / 226198

GCD(302, 749) = 226198 / 226198

GCD(302, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 302, 749, 309, 103 is 1

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1. What is the GCD of 302, 749, 309, 103?

GCD of 302, 749, 309, 103 is 1

2. Where do I get the detailed procedure to find GCD of 302, 749, 309, 103?

You can find a detailed procedure to find GCD of 302, 749, 309, 103 on our page.

3. How to find GCD of 302, 749, 309, 103 on a calculator?

You can find the GCD of 302, 749, 309, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.