GCD of 350, 292, 563, 447 Calculator

Given Input numbers are 350, 292, 563, 447

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 292

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

1, 2, 4, 73, 146, 292

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 350, 292, 563, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 292, 563, 447 is 1.

Therefore, GCD of numbers 350, 292, 563, 447 is 1

Given Input Data is 350, 292, 563, 447

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 563 is 563

Prime Factorization of 447 is 3 x 149

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(350, 292) = 51100

GCD(350, 292) = ( 350 x 292 ) / 51100

GCD(350, 292) = 102200 / 51100

GCD(350, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 350, 292, 563, 447 is 1

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1. What is the GCD of 350, 292, 563, 447?

GCD of 350, 292, 563, 447 is 1

2. Where do I get the detailed procedure to find GCD of 350, 292, 563, 447?

You can find a detailed procedure to find GCD of 350, 292, 563, 447 on our page.

3. How to find GCD of 350, 292, 563, 447 on a calculator?

You can find the GCD of 350, 292, 563, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.