GCD of 772, 208, 896, 203 Calculator

Given Input numbers are 772, 208, 896, 203

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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

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 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 772, 208, 896, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 208, 896, 203 is 1.

Therefore, GCD of numbers 772, 208, 896, 203 is 1

Given Input Data is 772, 208, 896, 203

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

Prime Factorization of 772 is 2 x 2 x 193

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

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

Prime Factorization of 203 is 7 x 29

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(772, 208) = 40144

GCD(772, 208) = ( 772 x 208 ) / 40144

GCD(772, 208) = 160576 / 40144

GCD(772, 208) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 896

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

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

GCD(4, 896) = 3584 / 896

GCD(4, 896) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 203

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

LCM(4, 203) = 812

GCD(4, 203) = ( 4 x 203 ) / 812

GCD(4, 203) = 812 / 812

GCD(4, 203) = 1

GCD of 772, 208, 896, 203 is 1

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1. What is the GCD of 772, 208, 896, 203?

GCD of 772, 208, 896, 203 is 1

2. Where do I get the detailed procedure to find GCD of 772, 208, 896, 203?

You can find a detailed procedure to find GCD of 772, 208, 896, 203 on our page.

3. How to find GCD of 772, 208, 896, 203 on a calculator?

You can find the GCD of 772, 208, 896, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.