GCD of 401, 342, 77, 112 Calculator

Given Input numbers are 401, 342, 77, 112

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 401, 342, 77, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 342, 77, 112 is 1.

Therefore, GCD of numbers 401, 342, 77, 112 is 1

Given Input Data is 401, 342, 77, 112

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

Prime Factorization of 401 is 401

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 77 is 7 x 11

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(401, 342) = 137142

GCD(401, 342) = ( 401 x 342 ) / 137142

GCD(401, 342) = 137142 / 137142

GCD(401, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 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 401, 342, 77, 112 is 1

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1. What is the GCD of 401, 342, 77, 112?

GCD of 401, 342, 77, 112 is 1

2. Where do I get the detailed procedure to find GCD of 401, 342, 77, 112?

You can find a detailed procedure to find GCD of 401, 342, 77, 112 on our page.

3. How to find GCD of 401, 342, 77, 112 on a calculator?

You can find the GCD of 401, 342, 77, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.