GCD of 758, 448, 55, 112 Calculator

Given Input numbers are 758, 448, 55, 112

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 758, 448, 55, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 448, 55, 112 is 1.

Therefore, GCD of numbers 758, 448, 55, 112 is 1

Given Input Data is 758, 448, 55, 112

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

Prime Factorization of 758 is 2 x 379

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(758, 448) = 169792

GCD(758, 448) = ( 758 x 448 ) / 169792

GCD(758, 448) = 339584 / 169792

GCD(758, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 758, 448, 55, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 520, 49, 775
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• GCD of 471, 163, 62, 565

1. What is the GCD of 758, 448, 55, 112?

GCD of 758, 448, 55, 112 is 1

2. Where do I get the detailed procedure to find GCD of 758, 448, 55, 112?

You can find a detailed procedure to find GCD of 758, 448, 55, 112 on our page.

3. How to find GCD of 758, 448, 55, 112 on a calculator?

You can find the GCD of 758, 448, 55, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.