GCD of 112, 151, 420, 403 Calculator

Given Input numbers are 112, 151, 420, 403

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 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 112, 151, 420, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 151, 420, 403 is 1.

Therefore, GCD of numbers 112, 151, 420, 403 is 1

Given Input Data is 112, 151, 420, 403

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 151 is 151

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 403 is 13 x 31

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, 151) = 16912

GCD(112, 151) = ( 112 x 151 ) / 16912

GCD(112, 151) = 16912 / 16912

GCD(112, 151) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

GCD of 112, 151, 420, 403 is 1

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1. What is the GCD of 112, 151, 420, 403?

GCD of 112, 151, 420, 403 is 1

2. Where do I get the detailed procedure to find GCD of 112, 151, 420, 403?

You can find a detailed procedure to find GCD of 112, 151, 420, 403 on our page.

3. How to find GCD of 112, 151, 420, 403 on a calculator?

You can find the GCD of 112, 151, 420, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.