GCD of 852, 448, 94, 821 Calculator

Given Input numbers are 852, 448, 94, 821

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 852, 448, 94, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 448, 94, 821 is 1.

Therefore, GCD of numbers 852, 448, 94, 821 is 1

Given Input Data is 852, 448, 94, 821

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

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

Prime Factorization of 94 is 2 x 47

Prime Factorization of 821 is 821

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(852, 448) = 95424

GCD(852, 448) = ( 852 x 448 ) / 95424

GCD(852, 448) = 381696 / 95424

GCD(852, 448) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 94

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

LCM(4, 94) = 188

GCD(4, 94) = ( 4 x 94 ) / 188

GCD(4, 94) = 376 / 188

GCD(4, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1

GCD of 852, 448, 94, 821 is 1

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1. What is the GCD of 852, 448, 94, 821?

GCD of 852, 448, 94, 821 is 1

2. Where do I get the detailed procedure to find GCD of 852, 448, 94, 821?

You can find a detailed procedure to find GCD of 852, 448, 94, 821 on our page.

3. How to find GCD of 852, 448, 94, 821 on a calculator?

You can find the GCD of 852, 448, 94, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.