GCD of 320, 801, 89, 753 Calculator

Given Input numbers are 320, 801, 89, 753

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 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 320, 801, 89, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 801, 89, 753 is 1.

Therefore, GCD of numbers 320, 801, 89, 753 is 1

Given Input Data is 320, 801, 89, 753

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 801 is 3 x 3 x 89

Prime Factorization of 89 is 89

Prime Factorization of 753 is 3 x 251

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, 801) = 256320

GCD(320, 801) = ( 320 x 801 ) / 256320

GCD(320, 801) = 256320 / 256320

GCD(320, 801) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 320, 801, 89, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 776, 63, 831
• GCD of 574, 145, 14, 475
• GCD of 743, 978, 67, 284
• GCD of 991, 493, 31, 249
• GCD of 677, 304, 38, 883

1. What is the GCD of 320, 801, 89, 753?

GCD of 320, 801, 89, 753 is 1

2. Where do I get the detailed procedure to find GCD of 320, 801, 89, 753?

You can find a detailed procedure to find GCD of 320, 801, 89, 753 on our page.

3. How to find GCD of 320, 801, 89, 753 on a calculator?

You can find the GCD of 320, 801, 89, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.