GCD of 52, 174, 952, 696 Calculator

Given Input numbers are 52, 174, 952, 696

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

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 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 52, 174, 952, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 174, 952, 696 is 2.

Therefore, GCD of numbers 52, 174, 952, 696 is 2

Given Input Data is 52, 174, 952, 696

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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(52, 174) = 4524

GCD(52, 174) = ( 52 x 174 ) / 4524

GCD(52, 174) = 9048 / 4524

GCD(52, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 52, 174, 952, 696 is 2

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1. What is the GCD of 52, 174, 952, 696?

GCD of 52, 174, 952, 696 is 2

2. Where do I get the detailed procedure to find GCD of 52, 174, 952, 696?

You can find a detailed procedure to find GCD of 52, 174, 952, 696 on our page.

3. How to find GCD of 52, 174, 952, 696 on a calculator?

You can find the GCD of 52, 174, 952, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.