GCD of 352, 565, 41, 823 Calculator

Given Input numbers are 352, 565, 41, 823

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 41

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

1, 41

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 352, 565, 41, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 565, 41, 823 is 1.

Therefore, GCD of numbers 352, 565, 41, 823 is 1

Given Input Data is 352, 565, 41, 823

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 565 is 5 x 113

Prime Factorization of 41 is 41

Prime Factorization of 823 is 823

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(352, 565) = 198880

GCD(352, 565) = ( 352 x 565 ) / 198880

GCD(352, 565) = 198880 / 198880

GCD(352, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 352, 565, 41, 823 is 1

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1. What is the GCD of 352, 565, 41, 823?

GCD of 352, 565, 41, 823 is 1

2. Where do I get the detailed procedure to find GCD of 352, 565, 41, 823?

You can find a detailed procedure to find GCD of 352, 565, 41, 823 on our page.

3. How to find GCD of 352, 565, 41, 823 on a calculator?

You can find the GCD of 352, 565, 41, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.