GCD of 112, 357, 954 Calculator

Given Input numbers are 112, 357, 954

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 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 112, 357, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 357, 954 is 1.

Therefore, GCD of numbers 112, 357, 954 is 1

Given Input Data is 112, 357, 954

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 357 is 3 x 7 x 17

Prime Factorization of 954 is 2 x 3 x 3 x 53

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, 357) = 5712

GCD(112, 357) = ( 112 x 357 ) / 5712

GCD(112, 357) = 39984 / 5712

GCD(112, 357) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 954

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

LCM(7, 954) = 6678

GCD(7, 954) = ( 7 x 954 ) / 6678

GCD(7, 954) = 6678 / 6678

GCD(7, 954) = 1

GCD of 112, 357, 954 is 1

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1. What is the GCD of 112, 357, 954?

GCD of 112, 357, 954 is 1

2. Where do I get the detailed procedure to find GCD of 112, 357, 954?

You can find a detailed procedure to find GCD of 112, 357, 954 on our page.

3. How to find GCD of 112, 357, 954 on a calculator?

You can find the GCD of 112, 357, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.