GCD of 352, 345, 827, 411 Calculator

Given Input numbers are 352, 345, 827, 411

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 352, 345, 827, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 345, 827, 411 is 1.

Therefore, GCD of numbers 352, 345, 827, 411 is 1

Given Input Data is 352, 345, 827, 411

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 345 is 3 x 5 x 23

Prime Factorization of 827 is 827

Prime Factorization of 411 is 3 x 137

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, 345) = 121440

GCD(352, 345) = ( 352 x 345 ) / 121440

GCD(352, 345) = 121440 / 121440

GCD(352, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 411

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

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

GCD(1, 411) = 411 / 411

GCD(1, 411) = 1

GCD of 352, 345, 827, 411 is 1

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1. What is the GCD of 352, 345, 827, 411?

GCD of 352, 345, 827, 411 is 1

2. Where do I get the detailed procedure to find GCD of 352, 345, 827, 411?

You can find a detailed procedure to find GCD of 352, 345, 827, 411 on our page.

3. How to find GCD of 352, 345, 827, 411 on a calculator?

You can find the GCD of 352, 345, 827, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.