GCD of 448, 695, 22, 992 Calculator

Given Input numbers are 448, 695, 22, 992

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 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 448, 695, 22, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 695, 22, 992 is 1.

Therefore, GCD of numbers 448, 695, 22, 992 is 1

Given Input Data is 448, 695, 22, 992

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 695 is 5 x 139

Prime Factorization of 22 is 2 x 11

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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, 695) = 311360

GCD(448, 695) = ( 448 x 695 ) / 311360

GCD(448, 695) = 311360 / 311360

GCD(448, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 448, 695, 22, 992 is 1

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• GCD of 372, 360, 13, 941
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• GCD of 632, 225, 48, 277

1. What is the GCD of 448, 695, 22, 992?

GCD of 448, 695, 22, 992 is 1

2. Where do I get the detailed procedure to find GCD of 448, 695, 22, 992?

You can find a detailed procedure to find GCD of 448, 695, 22, 992 on our page.

3. How to find GCD of 448, 695, 22, 992 on a calculator?

You can find the GCD of 448, 695, 22, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.