GCD of 474, 966, 147, 112 Calculator

Given Input numbers are 474, 966, 147, 112

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

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 474, 966, 147, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 966, 147, 112 is 1.

Therefore, GCD of numbers 474, 966, 147, 112 is 1

Given Input Data is 474, 966, 147, 112

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 147 is 3 x 7 x 7

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(474, 966) = 76314

GCD(474, 966) = ( 474 x 966 ) / 76314

GCD(474, 966) = 457884 / 76314

GCD(474, 966) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 147

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

LCM(6, 147) = 294

GCD(6, 147) = ( 6 x 147 ) / 294

GCD(6, 147) = 882 / 294

GCD(6, 147) = 3

Step3:

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 474, 966, 147, 112 is 1

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• GCD of 311, 222, 719, 707
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1. What is the GCD of 474, 966, 147, 112?

GCD of 474, 966, 147, 112 is 1

2. Where do I get the detailed procedure to find GCD of 474, 966, 147, 112?

You can find a detailed procedure to find GCD of 474, 966, 147, 112 on our page.

3. How to find GCD of 474, 966, 147, 112 on a calculator?

You can find the GCD of 474, 966, 147, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.