GCD of 894, 448, 693, 948 Calculator

Given Input numbers are 894, 448, 693, 948

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 894, 448, 693, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 448, 693, 948 is 1.

Therefore, GCD of numbers 894, 448, 693, 948 is 1

Given Input Data is 894, 448, 693, 948

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

Prime Factorization of 894 is 2 x 3 x 149

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(894, 448) = 200256

GCD(894, 448) = ( 894 x 448 ) / 200256

GCD(894, 448) = 400512 / 200256

GCD(894, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 894, 448, 693, 948 is 1

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1. What is the GCD of 894, 448, 693, 948?

GCD of 894, 448, 693, 948 is 1

2. Where do I get the detailed procedure to find GCD of 894, 448, 693, 948?

You can find a detailed procedure to find GCD of 894, 448, 693, 948 on our page.

3. How to find GCD of 894, 448, 693, 948 on a calculator?

You can find the GCD of 894, 448, 693, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.