GCD of 947, 896, 49, 208 Calculator

Given Input numbers are 947, 896, 49, 208

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

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 947, 896, 49, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 896, 49, 208 is 1.

Therefore, GCD of numbers 947, 896, 49, 208 is 1

Given Input Data is 947, 896, 49, 208

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

Prime Factorization of 947 is 947

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 49 is 7 x 7

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(947, 896) = 848512

GCD(947, 896) = ( 947 x 896 ) / 848512

GCD(947, 896) = 848512 / 848512

GCD(947, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 947, 896, 49, 208 is 1

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1. What is the GCD of 947, 896, 49, 208?

GCD of 947, 896, 49, 208 is 1

2. Where do I get the detailed procedure to find GCD of 947, 896, 49, 208?

You can find a detailed procedure to find GCD of 947, 896, 49, 208 on our page.

3. How to find GCD of 947, 896, 49, 208 on a calculator?

You can find the GCD of 947, 896, 49, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.