GCD of 320, 420, 91, 815 Calculator

Given Input numbers are 320, 420, 91, 815

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 320, 420, 91, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 420, 91, 815 is 1.

Therefore, GCD of numbers 320, 420, 91, 815 is 1

Given Input Data is 320, 420, 91, 815

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 815 is 5 x 163

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(320, 420) = 6720

GCD(320, 420) = ( 320 x 420 ) / 6720

GCD(320, 420) = 134400 / 6720

GCD(320, 420) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 91

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

LCM(20, 91) = 1820

GCD(20, 91) = ( 20 x 91 ) / 1820

GCD(20, 91) = 1820 / 1820

GCD(20, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

GCD of 320, 420, 91, 815 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 731, 55, 733
• GCD of 384, 548, 87, 362
• GCD of 600, 243, 89, 410
• GCD of 965, 422, 64, 667
• GCD of 322, 977, 37, 841

1. What is the GCD of 320, 420, 91, 815?

GCD of 320, 420, 91, 815 is 1

2. Where do I get the detailed procedure to find GCD of 320, 420, 91, 815?

You can find a detailed procedure to find GCD of 320, 420, 91, 815 on our page.

3. How to find GCD of 320, 420, 91, 815 on a calculator?

You can find the GCD of 320, 420, 91, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.