GCD of 116, 352, 925, 174 Calculator

Given Input numbers are 116, 352, 925, 174

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

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 116, 352, 925, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 352, 925, 174 is 1.

Therefore, GCD of numbers 116, 352, 925, 174 is 1

Given Input Data is 116, 352, 925, 174

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 925 is 5 x 5 x 37

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(116, 352) = 10208

GCD(116, 352) = ( 116 x 352 ) / 10208

GCD(116, 352) = 40832 / 10208

GCD(116, 352) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 925

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

LCM(4, 925) = 3700

GCD(4, 925) = ( 4 x 925 ) / 3700

GCD(4, 925) = 3700 / 3700

GCD(4, 925) = 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 116, 352, 925, 174 is 1

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• GCD of 240, 641, 403, 566
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1. What is the GCD of 116, 352, 925, 174?

GCD of 116, 352, 925, 174 is 1

2. Where do I get the detailed procedure to find GCD of 116, 352, 925, 174?

You can find a detailed procedure to find GCD of 116, 352, 925, 174 on our page.

3. How to find GCD of 116, 352, 925, 174 on a calculator?

You can find the GCD of 116, 352, 925, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.