GCD of 319, 420, 99, 575 Calculator

Given Input numbers are 319, 420, 99, 575

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 319, 420, 99, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 420, 99, 575 is 1.

Therefore, GCD of numbers 319, 420, 99, 575 is 1

Given Input Data is 319, 420, 99, 575

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 575 is 5 x 5 x 23

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(319, 420) = 133980

GCD(319, 420) = ( 319 x 420 ) / 133980

GCD(319, 420) = 133980 / 133980

GCD(319, 420) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

GCD of 319, 420, 99, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 431, 23, 828
• GCD of 793, 305, 35, 176
• GCD of 267, 211, 73, 901
• GCD of 539, 500, 14, 206
• GCD of 194, 711, 57, 887

1. What is the GCD of 319, 420, 99, 575?

GCD of 319, 420, 99, 575 is 1

2. Where do I get the detailed procedure to find GCD of 319, 420, 99, 575?

You can find a detailed procedure to find GCD of 319, 420, 99, 575 on our page.

3. How to find GCD of 319, 420, 99, 575 on a calculator?

You can find the GCD of 319, 420, 99, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.