GCD of 112, 949, 254, 145 Calculator

Given Input numbers are 112, 949, 254, 145

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 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 112, 949, 254, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 949, 254, 145 is 1.

Therefore, GCD of numbers 112, 949, 254, 145 is 1

Given Input Data is 112, 949, 254, 145

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 949 is 13 x 73

Prime Factorization of 254 is 2 x 127

Prime Factorization of 145 is 5 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, 949) = 106288

GCD(112, 949) = ( 112 x 949 ) / 106288

GCD(112, 949) = 106288 / 106288

GCD(112, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 112, 949, 254, 145 is 1

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1. What is the GCD of 112, 949, 254, 145?

GCD of 112, 949, 254, 145 is 1

2. Where do I get the detailed procedure to find GCD of 112, 949, 254, 145?

You can find a detailed procedure to find GCD of 112, 949, 254, 145 on our page.

3. How to find GCD of 112, 949, 254, 145 on a calculator?

You can find the GCD of 112, 949, 254, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.