GCD of 994, 176, 49, 857 Calculator

Given Input numbers are 994, 176, 49, 857

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 49

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

1, 7, 49

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 994, 176, 49, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 176, 49, 857 is 1.

Therefore, GCD of numbers 994, 176, 49, 857 is 1

Given Input Data is 994, 176, 49, 857

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 857 is 857

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(994, 176) = 87472

GCD(994, 176) = ( 994 x 176 ) / 87472

GCD(994, 176) = 174944 / 87472

GCD(994, 176) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 994, 176, 49, 857 is 1

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1. What is the GCD of 994, 176, 49, 857?

GCD of 994, 176, 49, 857 is 1

2. Where do I get the detailed procedure to find GCD of 994, 176, 49, 857?

You can find a detailed procedure to find GCD of 994, 176, 49, 857 on our page.

3. How to find GCD of 994, 176, 49, 857 on a calculator?

You can find the GCD of 994, 176, 49, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.