GCD of 349, 418, 51, 112 Calculator

Given Input numbers are 349, 418, 51, 112

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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

Greatest Common Divisior

We found the divisors of 349, 418, 51, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 418, 51, 112 is 1.

Therefore, GCD of numbers 349, 418, 51, 112 is 1

Given Input Data is 349, 418, 51, 112

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

Prime Factorization of 349 is 349

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 51 is 3 x 17

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

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(349, 418) = 145882

GCD(349, 418) = ( 349 x 418 ) / 145882

GCD(349, 418) = 145882 / 145882

GCD(349, 418) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 349, 418, 51, 112 is 1

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• GCD of 735, 656, 55, 526
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1. What is the GCD of 349, 418, 51, 112?

GCD of 349, 418, 51, 112 is 1

2. Where do I get the detailed procedure to find GCD of 349, 418, 51, 112?

You can find a detailed procedure to find GCD of 349, 418, 51, 112 on our page.

3. How to find GCD of 349, 418, 51, 112 on a calculator?

You can find the GCD of 349, 418, 51, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.