GCD of 794, 112, 57, 154 Calculator

Given Input numbers are 794, 112, 57, 154

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 794, 112, 57, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 112, 57, 154 is 1.

Therefore, GCD of numbers 794, 112, 57, 154 is 1

Given Input Data is 794, 112, 57, 154

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

Prime Factorization of 794 is 2 x 397

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 154 is 2 x 7 x 11

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(794, 112) = 44464

GCD(794, 112) = ( 794 x 112 ) / 44464

GCD(794, 112) = 88928 / 44464

GCD(794, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 794, 112, 57, 154 is 1

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1. What is the GCD of 794, 112, 57, 154?

GCD of 794, 112, 57, 154 is 1

2. Where do I get the detailed procedure to find GCD of 794, 112, 57, 154?

You can find a detailed procedure to find GCD of 794, 112, 57, 154 on our page.

3. How to find GCD of 794, 112, 57, 154 on a calculator?

You can find the GCD of 794, 112, 57, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.