GCD of 174, 783, 126, 446 Calculator

Given Input numbers are 174, 783, 126, 446

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 174, 783, 126, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 783, 126, 446 is 1.

Therefore, GCD of numbers 174, 783, 126, 446 is 1

Given Input Data is 174, 783, 126, 446

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 446 is 2 x 223

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(174, 783) = 1566

GCD(174, 783) = ( 174 x 783 ) / 1566

GCD(174, 783) = 136242 / 1566

GCD(174, 783) = 87

Step2:

Here we consider the GCD from the above i.e. 87 as first number and the next as 126

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

LCM(87, 126) = 3654

GCD(87, 126) = ( 87 x 126 ) / 3654

GCD(87, 126) = 10962 / 3654

GCD(87, 126) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 446

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

LCM(3, 446) = 1338

GCD(3, 446) = ( 3 x 446 ) / 1338

GCD(3, 446) = 1338 / 1338

GCD(3, 446) = 1

GCD of 174, 783, 126, 446 is 1

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1. What is the GCD of 174, 783, 126, 446?

GCD of 174, 783, 126, 446 is 1

2. Where do I get the detailed procedure to find GCD of 174, 783, 126, 446?

You can find a detailed procedure to find GCD of 174, 783, 126, 446 on our page.

3. How to find GCD of 174, 783, 126, 446 on a calculator?

You can find the GCD of 174, 783, 126, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.