GCD of 71, 448, 755, 820 Calculator

Given Input numbers are 71, 448, 755, 820

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 71, 448, 755, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 448, 755, 820 is 1.

Therefore, GCD of numbers 71, 448, 755, 820 is 1

Given Input Data is 71, 448, 755, 820

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

Prime Factorization of 71 is 71

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(71, 448) = 31808

GCD(71, 448) = ( 71 x 448 ) / 31808

GCD(71, 448) = 31808 / 31808

GCD(71, 448) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 71, 448, 755, 820 is 1

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• GCD of 57, 501, 334, 455
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1. What is the GCD of 71, 448, 755, 820?

GCD of 71, 448, 755, 820 is 1

2. Where do I get the detailed procedure to find GCD of 71, 448, 755, 820?

You can find a detailed procedure to find GCD of 71, 448, 755, 820 on our page.

3. How to find GCD of 71, 448, 755, 820 on a calculator?

You can find the GCD of 71, 448, 755, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.