GCD of 448, 142, 75, 713 Calculator

Given Input numbers are 448, 142, 75, 713

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 448, 142, 75, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 142, 75, 713 is 1.

Therefore, GCD of numbers 448, 142, 75, 713 is 1

Given Input Data is 448, 142, 75, 713

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 142 is 2 x 71

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 713 is 23 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, 142) = 31808

GCD(448, 142) = ( 448 x 142 ) / 31808

GCD(448, 142) = 63616 / 31808

GCD(448, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 448, 142, 75, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 247, 53, 494
• GCD of 401, 533, 44, 976
• GCD of 215, 397, 69, 575
• GCD of 137, 640, 52, 858
• GCD of 642, 993, 37, 951

1. What is the GCD of 448, 142, 75, 713?

GCD of 448, 142, 75, 713 is 1

2. Where do I get the detailed procedure to find GCD of 448, 142, 75, 713?

You can find a detailed procedure to find GCD of 448, 142, 75, 713 on our page.

3. How to find GCD of 448, 142, 75, 713 on a calculator?

You can find the GCD of 448, 142, 75, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.