GCD of 776, 406, 896, 167 Calculator

Given Input numbers are 776, 406, 896, 167

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

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 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 776, 406, 896, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 406, 896, 167 is 1.

Therefore, GCD of numbers 776, 406, 896, 167 is 1

Given Input Data is 776, 406, 896, 167

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 406 is 2 x 7 x 29

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

Prime Factorization of 167 is 167

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(776, 406) = 157528

GCD(776, 406) = ( 776 x 406 ) / 157528

GCD(776, 406) = 315056 / 157528

GCD(776, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 167

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

LCM(2, 167) = 334

GCD(2, 167) = ( 2 x 167 ) / 334

GCD(2, 167) = 334 / 334

GCD(2, 167) = 1

GCD of 776, 406, 896, 167 is 1

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1. What is the GCD of 776, 406, 896, 167?

GCD of 776, 406, 896, 167 is 1

2. Where do I get the detailed procedure to find GCD of 776, 406, 896, 167?

You can find a detailed procedure to find GCD of 776, 406, 896, 167 on our page.

3. How to find GCD of 776, 406, 896, 167 on a calculator?

You can find the GCD of 776, 406, 896, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.