GCD of 548, 398, 965, 174 Calculator

Given Input numbers are 548, 398, 965, 174

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

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 548, 398, 965, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 398, 965, 174 is 1.

Therefore, GCD of numbers 548, 398, 965, 174 is 1

Given Input Data is 548, 398, 965, 174

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 398 is 2 x 199

Prime Factorization of 965 is 5 x 193

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(548, 398) = 109052

GCD(548, 398) = ( 548 x 398 ) / 109052

GCD(548, 398) = 218104 / 109052

GCD(548, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 965

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

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

GCD(2, 965) = 1930 / 1930

GCD(2, 965) = 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 548, 398, 965, 174 is 1

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1. What is the GCD of 548, 398, 965, 174?

GCD of 548, 398, 965, 174 is 1

2. Where do I get the detailed procedure to find GCD of 548, 398, 965, 174?

You can find a detailed procedure to find GCD of 548, 398, 965, 174 on our page.

3. How to find GCD of 548, 398, 965, 174 on a calculator?

You can find the GCD of 548, 398, 965, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.