GCD of 112, 742, 57, 114 Calculator

Given Input numbers are 112, 742, 57, 114

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

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 57

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

1, 3, 19, 57

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 112, 742, 57, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 742, 57, 114 is 1.

Therefore, GCD of numbers 112, 742, 57, 114 is 1

Given Input Data is 112, 742, 57, 114

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

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 57 is 3 x 19

Prime Factorization of 114 is 2 x 3 x 19

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(112, 742) = 5936

GCD(112, 742) = ( 112 x 742 ) / 5936

GCD(112, 742) = 83104 / 5936

GCD(112, 742) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 57

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

LCM(14, 57) = 798

GCD(14, 57) = ( 14 x 57 ) / 798

GCD(14, 57) = 798 / 798

GCD(14, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 112, 742, 57, 114 is 1

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• GCD of 916, 369, 39, 176
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1. What is the GCD of 112, 742, 57, 114?

GCD of 112, 742, 57, 114 is 1

2. Where do I get the detailed procedure to find GCD of 112, 742, 57, 114?

You can find a detailed procedure to find GCD of 112, 742, 57, 114 on our page.

3. How to find GCD of 112, 742, 57, 114 on a calculator?

You can find the GCD of 112, 742, 57, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.