GCD of 52, 492, 344, 152 Calculator

Given Input numbers are 52, 492, 344, 152

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 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 52, 492, 344, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 492, 344, 152 is 4.

Therefore, GCD of numbers 52, 492, 344, 152 is 4

Given Input Data is 52, 492, 344, 152

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 492 is 2 x 2 x 3 x 41

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(52, 492) = 6396

GCD(52, 492) = ( 52 x 492 ) / 6396

GCD(52, 492) = 25584 / 6396

GCD(52, 492) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 344

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

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

GCD(4, 344) = 1376 / 344

GCD(4, 344) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 152

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

LCM(4, 152) = 152

GCD(4, 152) = ( 4 x 152 ) / 152

GCD(4, 152) = 608 / 152

GCD(4, 152) = 4

GCD of 52, 492, 344, 152 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 817, 345, 405
• GCD of 89, 122, 663, 105
• GCD of 45, 596, 306, 121
• GCD of 82, 728, 133, 928
• GCD of 47, 118, 931, 295

1. What is the GCD of 52, 492, 344, 152?

GCD of 52, 492, 344, 152 is 4

2. Where do I get the detailed procedure to find GCD of 52, 492, 344, 152?

You can find a detailed procedure to find GCD of 52, 492, 344, 152 on our page.

3. How to find GCD of 52, 492, 344, 152 on a calculator?

You can find the GCD of 52, 492, 344, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.