GCD of 942, 807, 112 Calculator

Given Input numbers are 942, 807, 112

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

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 942, 807, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 807, 112 is 1.

Therefore, GCD of numbers 942, 807, 112 is 1

Given Input Data is 942, 807, 112

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 807 is 3 x 269

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(942, 807) = 253398

GCD(942, 807) = ( 942 x 807 ) / 253398

GCD(942, 807) = 760194 / 253398

GCD(942, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 112

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

LCM(3, 112) = 336

GCD(3, 112) = ( 3 x 112 ) / 336

GCD(3, 112) = 336 / 336

GCD(3, 112) = 1

GCD of 942, 807, 112 is 1

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1. What is the GCD of 942, 807, 112?

GCD of 942, 807, 112 is 1

2. Where do I get the detailed procedure to find GCD of 942, 807, 112?

You can find a detailed procedure to find GCD of 942, 807, 112 on our page.

3. How to find GCD of 942, 807, 112 on a calculator?

You can find the GCD of 942, 807, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.