GCD of 320, 956, 52, 172 Calculator

Given Input numbers are 320, 956, 52, 172

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 320, 956, 52, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 956, 52, 172 is 4.

Therefore, GCD of numbers 320, 956, 52, 172 is 4

Given Input Data is 320, 956, 52, 172

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 172 is 2 x 2 x 43

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(320, 956) = 76480

GCD(320, 956) = ( 320 x 956 ) / 76480

GCD(320, 956) = 305920 / 76480

GCD(320, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 172

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

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

GCD(4, 172) = 688 / 172

GCD(4, 172) = 4

GCD of 320, 956, 52, 172 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 862, 35, 980
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• GCD of 701, 238, 53, 498

1. What is the GCD of 320, 956, 52, 172?

GCD of 320, 956, 52, 172 is 4

2. Where do I get the detailed procedure to find GCD of 320, 956, 52, 172?

You can find a detailed procedure to find GCD of 320, 956, 52, 172 on our page.

3. How to find GCD of 320, 956, 52, 172 on a calculator?

You can find the GCD of 320, 956, 52, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.