GCD of 497, 805, 448, 721 Calculator

Given Input numbers are 497, 805, 448, 721

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 497, 805, 448, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 805, 448, 721 is 7.

Therefore, GCD of numbers 497, 805, 448, 721 is 7

Given Input Data is 497, 805, 448, 721

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 721 is 7 x 103

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(497, 805) = 57155

GCD(497, 805) = ( 497 x 805 ) / 57155

GCD(497, 805) = 400085 / 57155

GCD(497, 805) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 448

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

LCM(7, 448) = 448

GCD(7, 448) = ( 7 x 448 ) / 448

GCD(7, 448) = 3136 / 448

GCD(7, 448) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 721

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

LCM(7, 721) = 721

GCD(7, 721) = ( 7 x 721 ) / 721

GCD(7, 721) = 5047 / 721

GCD(7, 721) = 7

GCD of 497, 805, 448, 721 is 7

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1. What is the GCD of 497, 805, 448, 721?

GCD of 497, 805, 448, 721 is 7

2. Where do I get the detailed procedure to find GCD of 497, 805, 448, 721?

You can find a detailed procedure to find GCD of 497, 805, 448, 721 on our page.

3. How to find GCD of 497, 805, 448, 721 on a calculator?

You can find the GCD of 497, 805, 448, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.