GCD of 448, 764, 52, 807 Calculator

Given Input numbers are 448, 764, 52, 807

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 448, 764, 52, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 764, 52, 807 is 1.

Therefore, GCD of numbers 448, 764, 52, 807 is 1

Given Input Data is 448, 764, 52, 807

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 764 is 2 x 2 x 191

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 807 is 3 x 269

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, 764) = 85568

GCD(448, 764) = ( 448 x 764 ) / 85568

GCD(448, 764) = 342272 / 85568

GCD(448, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 807

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

LCM(4, 807) = 3228

GCD(4, 807) = ( 4 x 807 ) / 3228

GCD(4, 807) = 3228 / 3228

GCD(4, 807) = 1

GCD of 448, 764, 52, 807 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 827, 67, 255
• GCD of 729, 789, 46, 643
• GCD of 569, 819, 45, 808
• GCD of 209, 120, 69, 634
• GCD of 205, 170, 67, 555

1. What is the GCD of 448, 764, 52, 807?

GCD of 448, 764, 52, 807 is 1

2. Where do I get the detailed procedure to find GCD of 448, 764, 52, 807?

You can find a detailed procedure to find GCD of 448, 764, 52, 807 on our page.

3. How to find GCD of 448, 764, 52, 807 on a calculator?

You can find the GCD of 448, 764, 52, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.