GCD of 112, 948, 645 Calculator

Given Input numbers are 112, 948, 645

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 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 112, 948, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 948, 645 is 1.

Therefore, GCD of numbers 112, 948, 645 is 1

Given Input Data is 112, 948, 645

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 948 is 2 x 2 x 3 x 79

Prime Factorization of 645 is 3 x 5 x 43

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, 948) = 26544

GCD(112, 948) = ( 112 x 948 ) / 26544

GCD(112, 948) = 106176 / 26544

GCD(112, 948) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 645

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

LCM(4, 645) = 2580

GCD(4, 645) = ( 4 x 645 ) / 2580

GCD(4, 645) = 2580 / 2580

GCD(4, 645) = 1

GCD of 112, 948, 645 is 1

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1. What is the GCD of 112, 948, 645?

GCD of 112, 948, 645 is 1

2. Where do I get the detailed procedure to find GCD of 112, 948, 645?

You can find a detailed procedure to find GCD of 112, 948, 645 on our page.

3. How to find GCD of 112, 948, 645 on a calculator?

You can find the GCD of 112, 948, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.