GCD of 309, 292, 715, 416 Calculator

Given Input numbers are 309, 292, 715, 416

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 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 309, 292, 715, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 292, 715, 416 is 1.

Therefore, GCD of numbers 309, 292, 715, 416 is 1

Given Input Data is 309, 292, 715, 416

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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, 292) = 90228

GCD(309, 292) = ( 309 x 292 ) / 90228

GCD(309, 292) = 90228 / 90228

GCD(309, 292) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 309, 292, 715, 416 is 1

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1. What is the GCD of 309, 292, 715, 416?

GCD of 309, 292, 715, 416 is 1

2. Where do I get the detailed procedure to find GCD of 309, 292, 715, 416?

You can find a detailed procedure to find GCD of 309, 292, 715, 416 on our page.

3. How to find GCD of 309, 292, 715, 416 on a calculator?

You can find the GCD of 309, 292, 715, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.