GCD of 946, 104, 344, 175 Calculator

Given Input numbers are 946, 104, 344, 175

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 946, 104, 344, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 104, 344, 175 is 1.

Therefore, GCD of numbers 946, 104, 344, 175 is 1

Given Input Data is 946, 104, 344, 175

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 175 is 5 x 5 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(946, 104) = 49192

GCD(946, 104) = ( 946 x 104 ) / 49192

GCD(946, 104) = 98384 / 49192

GCD(946, 104) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 175

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

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

GCD(2, 175) = 350 / 350

GCD(2, 175) = 1

GCD of 946, 104, 344, 175 is 1

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1. What is the GCD of 946, 104, 344, 175?

GCD of 946, 104, 344, 175 is 1

2. Where do I get the detailed procedure to find GCD of 946, 104, 344, 175?

You can find a detailed procedure to find GCD of 946, 104, 344, 175 on our page.

3. How to find GCD of 946, 104, 344, 175 on a calculator?

You can find the GCD of 946, 104, 344, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.