GCD of 407, 292, 57, 309 Calculator

Given Input numbers are 407, 292, 57, 309

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 292

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

1, 2, 4, 73, 146, 292

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 407, 292, 57, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 292, 57, 309 is 1.

Therefore, GCD of numbers 407, 292, 57, 309 is 1

Given Input Data is 407, 292, 57, 309

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 57 is 3 x 19

Prime Factorization of 309 is 3 x 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(407, 292) = 118844

GCD(407, 292) = ( 407 x 292 ) / 118844

GCD(407, 292) = 118844 / 118844

GCD(407, 292) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

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

GCD of 407, 292, 57, 309 is 1

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1. What is the GCD of 407, 292, 57, 309?

GCD of 407, 292, 57, 309 is 1

2. Where do I get the detailed procedure to find GCD of 407, 292, 57, 309?

You can find a detailed procedure to find GCD of 407, 292, 57, 309 on our page.

3. How to find GCD of 407, 292, 57, 309 on a calculator?

You can find the GCD of 407, 292, 57, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.