GCD of 649, 112, 329, 174 Calculator

Given Input numbers are 649, 112, 329, 174

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

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 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 649, 112, 329, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 112, 329, 174 is 1.

Therefore, GCD of numbers 649, 112, 329, 174 is 1

Given Input Data is 649, 112, 329, 174

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 329 is 7 x 47

Prime Factorization of 174 is 2 x 3 x 29

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(649, 112) = 72688

GCD(649, 112) = ( 649 x 112 ) / 72688

GCD(649, 112) = 72688 / 72688

GCD(649, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 649, 112, 329, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 182, 430, 676
• GCD of 142, 562, 700, 407
• GCD of 712, 317, 103, 704
• GCD of 469, 357, 411, 789
• GCD of 328, 115, 130, 551

1. What is the GCD of 649, 112, 329, 174?

GCD of 649, 112, 329, 174 is 1

2. Where do I get the detailed procedure to find GCD of 649, 112, 329, 174?

You can find a detailed procedure to find GCD of 649, 112, 329, 174 on our page.

3. How to find GCD of 649, 112, 329, 174 on a calculator?

You can find the GCD of 649, 112, 329, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.