GCD of 176, 364, 126, 366 Calculator

Given Input numbers are 176, 364, 126, 366

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 176, 364, 126, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 364, 126, 366 is 2.

Therefore, GCD of numbers 176, 364, 126, 366 is 2

Given Input Data is 176, 364, 126, 366

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Prime Factorization of 366 is 2 x 3 x 61

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(176, 364) = 16016

GCD(176, 364) = ( 176 x 364 ) / 16016

GCD(176, 364) = 64064 / 16016

GCD(176, 364) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 126

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

LCM(4, 126) = 252

GCD(4, 126) = ( 4 x 126 ) / 252

GCD(4, 126) = 504 / 252

GCD(4, 126) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 366

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

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

GCD(2, 366) = 732 / 366

GCD(2, 366) = 2

GCD of 176, 364, 126, 366 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 366, 962, 315
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• GCD of 886, 177, 556, 847
• GCD of 345, 824, 664, 831

1. What is the GCD of 176, 364, 126, 366?

GCD of 176, 364, 126, 366 is 2

2. Where do I get the detailed procedure to find GCD of 176, 364, 126, 366?

You can find a detailed procedure to find GCD of 176, 364, 126, 366 on our page.

3. How to find GCD of 176, 364, 126, 366 on a calculator?

You can find the GCD of 176, 364, 126, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.