GCD of 891, 414, 87, 352 Calculator

Given Input numbers are 891, 414, 87, 352

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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

Greatest Common Divisior

We found the divisors of 891, 414, 87, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 414, 87, 352 is 1.

Therefore, GCD of numbers 891, 414, 87, 352 is 1

Given Input Data is 891, 414, 87, 352

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 87 is 3 x 29

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

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(891, 414) = 40986

GCD(891, 414) = ( 891 x 414 ) / 40986

GCD(891, 414) = 368874 / 40986

GCD(891, 414) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 87

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

LCM(9, 87) = 261

GCD(9, 87) = ( 9 x 87 ) / 261

GCD(9, 87) = 783 / 261

GCD(9, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 352

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

LCM(3, 352) = 1056

GCD(3, 352) = ( 3 x 352 ) / 1056

GCD(3, 352) = 1056 / 1056

GCD(3, 352) = 1

GCD of 891, 414, 87, 352 is 1

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1. What is the GCD of 891, 414, 87, 352?

GCD of 891, 414, 87, 352 is 1

2. Where do I get the detailed procedure to find GCD of 891, 414, 87, 352?

You can find a detailed procedure to find GCD of 891, 414, 87, 352 on our page.

3. How to find GCD of 891, 414, 87, 352 on a calculator?

You can find the GCD of 891, 414, 87, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.