GCD of 112, 692, 946 Calculator

Given Input numbers are 112, 692, 946

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 112, 692, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 692, 946 is 2.

Therefore, GCD of numbers 112, 692, 946 is 2

Given Input Data is 112, 692, 946

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 692 is 2 x 2 x 173

Prime Factorization of 946 is 2 x 11 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 692) = 19376

GCD(112, 692) = ( 112 x 692 ) / 19376

GCD(112, 692) = 77504 / 19376

GCD(112, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 946

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

LCM(4, 946) = 1892

GCD(4, 946) = ( 4 x 946 ) / 1892

GCD(4, 946) = 3784 / 1892

GCD(4, 946) = 2

GCD of 112, 692, 946 is 2

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1. What is the GCD of 112, 692, 946?

GCD of 112, 692, 946 is 2

2. Where do I get the detailed procedure to find GCD of 112, 692, 946?

You can find a detailed procedure to find GCD of 112, 692, 946 on our page.

3. How to find GCD of 112, 692, 946 on a calculator?

You can find the GCD of 112, 692, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.