GCD of 861, 112, 196, 174 Calculator

Given Input numbers are 861, 112, 196, 174

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 861, 112, 196, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 112, 196, 174 is 1.

Therefore, GCD of numbers 861, 112, 196, 174 is 1

Given Input Data is 861, 112, 196, 174

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 174 is 2 x 3 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(861, 112) = 13776

GCD(861, 112) = ( 861 x 112 ) / 13776

GCD(861, 112) = 96432 / 13776

GCD(861, 112) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 196

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

LCM(7, 196) = 196

GCD(7, 196) = ( 7 x 196 ) / 196

GCD(7, 196) = 1372 / 196

GCD(7, 196) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 174

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

LCM(7, 174) = 1218

GCD(7, 174) = ( 7 x 174 ) / 1218

GCD(7, 174) = 1218 / 1218

GCD(7, 174) = 1

GCD of 861, 112, 196, 174 is 1

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1. What is the GCD of 861, 112, 196, 174?

GCD of 861, 112, 196, 174 is 1

2. Where do I get the detailed procedure to find GCD of 861, 112, 196, 174?

You can find a detailed procedure to find GCD of 861, 112, 196, 174 on our page.

3. How to find GCD of 861, 112, 196, 174 on a calculator?

You can find the GCD of 861, 112, 196, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.