GCD of 176, 694, 944, 380 Calculator

Given Input numbers are 176, 694, 944, 380

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 176, 694, 944, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 694, 944, 380 is 2.

Therefore, GCD of numbers 176, 694, 944, 380 is 2

Given Input Data is 176, 694, 944, 380

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 694 is 2 x 347

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 380 is 2 x 2 x 5 x 19

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, 694) = 61072

GCD(176, 694) = ( 176 x 694 ) / 61072

GCD(176, 694) = 122144 / 61072

GCD(176, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 380

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

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

GCD(2, 380) = 760 / 380

GCD(2, 380) = 2

GCD of 176, 694, 944, 380 is 2

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1. What is the GCD of 176, 694, 944, 380?

GCD of 176, 694, 944, 380 is 2

2. Where do I get the detailed procedure to find GCD of 176, 694, 944, 380?

You can find a detailed procedure to find GCD of 176, 694, 944, 380 on our page.

3. How to find GCD of 176, 694, 944, 380 on a calculator?

You can find the GCD of 176, 694, 944, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.