GCD of 896, 310, 77, 324 Calculator

Given Input numbers are 896, 310, 77, 324

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 896, 310, 77, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 310, 77, 324 is 1.

Therefore, GCD of numbers 896, 310, 77, 324 is 1

Given Input Data is 896, 310, 77, 324

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 77 is 7 x 11

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(896, 310) = 138880

GCD(896, 310) = ( 896 x 310 ) / 138880

GCD(896, 310) = 277760 / 138880

GCD(896, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 896, 310, 77, 324 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 541, 59, 409
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• GCD of 600, 912, 98, 328

1. What is the GCD of 896, 310, 77, 324?

GCD of 896, 310, 77, 324 is 1

2. Where do I get the detailed procedure to find GCD of 896, 310, 77, 324?

You can find a detailed procedure to find GCD of 896, 310, 77, 324 on our page.

3. How to find GCD of 896, 310, 77, 324 on a calculator?

You can find the GCD of 896, 310, 77, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.