GCD of 174, 960, 60, 725 Calculator

Given Input numbers are 174, 960, 60, 725

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

Divisors of 174

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

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 174, 960, 60, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 960, 60, 725 is 1.

Therefore, GCD of numbers 174, 960, 60, 725 is 1

Given Input Data is 174, 960, 60, 725

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 725 is 5 x 5 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(174, 960) = 27840

GCD(174, 960) = ( 174 x 960 ) / 27840

GCD(174, 960) = 167040 / 27840

GCD(174, 960) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 60

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

LCM(6, 60) = 60

GCD(6, 60) = ( 6 x 60 ) / 60

GCD(6, 60) = 360 / 60

GCD(6, 60) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 725

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

LCM(6, 725) = 4350

GCD(6, 725) = ( 6 x 725 ) / 4350

GCD(6, 725) = 4350 / 4350

GCD(6, 725) = 1

GCD of 174, 960, 60, 725 is 1

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1. What is the GCD of 174, 960, 60, 725?

GCD of 174, 960, 60, 725 is 1

2. Where do I get the detailed procedure to find GCD of 174, 960, 60, 725?

You can find a detailed procedure to find GCD of 174, 960, 60, 725 on our page.

3. How to find GCD of 174, 960, 60, 725 on a calculator?

You can find the GCD of 174, 960, 60, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.