GCD of 174, 272, 508, 970 Calculator

Given Input numbers are 174, 272, 508, 970

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 174, 272, 508, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 272, 508, 970 is 2.

Therefore, GCD of numbers 174, 272, 508, 970 is 2

Given Input Data is 174, 272, 508, 970

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 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 970 is 2 x 5 x 97

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(174, 272) = 23664

GCD(174, 272) = ( 174 x 272 ) / 23664

GCD(174, 272) = 47328 / 23664

GCD(174, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

GCD of 174, 272, 508, 970 is 2

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1. What is the GCD of 174, 272, 508, 970?

GCD of 174, 272, 508, 970 is 2

2. Where do I get the detailed procedure to find GCD of 174, 272, 508, 970?

You can find a detailed procedure to find GCD of 174, 272, 508, 970 on our page.

3. How to find GCD of 174, 272, 508, 970 on a calculator?

You can find the GCD of 174, 272, 508, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.