GCD of 448, 553, 797, 953 Calculator

Given Input numbers are 448, 553, 797, 953

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

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 448, 553, 797, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 553, 797, 953 is 1.

Therefore, GCD of numbers 448, 553, 797, 953 is 1

Given Input Data is 448, 553, 797, 953

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

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 797 is 797

Prime Factorization of 953 is 953

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(448, 553) = 35392

GCD(448, 553) = ( 448 x 553 ) / 35392

GCD(448, 553) = 247744 / 35392

GCD(448, 553) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 797

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

LCM(7, 797) = 5579

GCD(7, 797) = ( 7 x 797 ) / 5579

GCD(7, 797) = 5579 / 5579

GCD(7, 797) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 448, 553, 797, 953 is 1

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1. What is the GCD of 448, 553, 797, 953?

GCD of 448, 553, 797, 953 is 1

2. Where do I get the detailed procedure to find GCD of 448, 553, 797, 953?

You can find a detailed procedure to find GCD of 448, 553, 797, 953 on our page.

3. How to find GCD of 448, 553, 797, 953 on a calculator?

You can find the GCD of 448, 553, 797, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.