GCD of 112, 168, 74, 377 Calculator

Given Input numbers are 112, 168, 74, 377

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 112, 168, 74, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 168, 74, 377 is 1.

Therefore, GCD of numbers 112, 168, 74, 377 is 1

Given Input Data is 112, 168, 74, 377

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 377 is 13 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(112, 168) = 336

GCD(112, 168) = ( 112 x 168 ) / 336

GCD(112, 168) = 18816 / 336

GCD(112, 168) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 74

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

LCM(56, 74) = 2072

GCD(56, 74) = ( 56 x 74 ) / 2072

GCD(56, 74) = 4144 / 2072

GCD(56, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 377

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

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

GCD(2, 377) = 754 / 754

GCD(2, 377) = 1

GCD of 112, 168, 74, 377 is 1

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• GCD of 552, 497, 32, 576
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1. What is the GCD of 112, 168, 74, 377?

GCD of 112, 168, 74, 377 is 1

2. Where do I get the detailed procedure to find GCD of 112, 168, 74, 377?

You can find a detailed procedure to find GCD of 112, 168, 74, 377 on our page.

3. How to find GCD of 112, 168, 74, 377 on a calculator?

You can find the GCD of 112, 168, 74, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.