GCD of 460, 344, 41, 532 Calculator

Given Input numbers are 460, 344, 41, 532

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 460, 344, 41, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 344, 41, 532 is 1.

Therefore, GCD of numbers 460, 344, 41, 532 is 1

Given Input Data is 460, 344, 41, 532

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

Prime Factorization of 41 is 41

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(460, 344) = 39560

GCD(460, 344) = ( 460 x 344 ) / 39560

GCD(460, 344) = 158240 / 39560

GCD(460, 344) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 41

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

LCM(4, 41) = 164

GCD(4, 41) = ( 4 x 41 ) / 164

GCD(4, 41) = 164 / 164

GCD(4, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 460, 344, 41, 532 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 540, 51, 976
• GCD of 732, 268, 28, 186
• GCD of 268, 169, 96, 346
• GCD of 707, 342, 63, 673
• GCD of 293, 844, 91, 589

1. What is the GCD of 460, 344, 41, 532?

GCD of 460, 344, 41, 532 is 1

2. Where do I get the detailed procedure to find GCD of 460, 344, 41, 532?

You can find a detailed procedure to find GCD of 460, 344, 41, 532 on our page.

3. How to find GCD of 460, 344, 41, 532 on a calculator?

You can find the GCD of 460, 344, 41, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.