GCD of 657, 378, 96, 864 Calculator

Given Input numbers are 657, 378, 96, 864

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 657, 378, 96, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 378, 96, 864 is 3.

Therefore, GCD of numbers 657, 378, 96, 864 is 3

Given Input Data is 657, 378, 96, 864

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(657, 378) = 27594

GCD(657, 378) = ( 657 x 378 ) / 27594

GCD(657, 378) = 248346 / 27594

GCD(657, 378) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 96

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

LCM(9, 96) = 288

GCD(9, 96) = ( 9 x 96 ) / 288

GCD(9, 96) = 864 / 288

GCD(9, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 864

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

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

GCD(3, 864) = 2592 / 864

GCD(3, 864) = 3

GCD of 657, 378, 96, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 791, 79, 874
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1. What is the GCD of 657, 378, 96, 864?

GCD of 657, 378, 96, 864 is 3

2. Where do I get the detailed procedure to find GCD of 657, 378, 96, 864?

You can find a detailed procedure to find GCD of 657, 378, 96, 864 on our page.

3. How to find GCD of 657, 378, 96, 864 on a calculator?

You can find the GCD of 657, 378, 96, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.