GCD of 896, 654, 832, 824 Calculator

Given Input numbers are 896, 654, 832, 824

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 896, 654, 832, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 654, 832, 824 is 2.

Therefore, GCD of numbers 896, 654, 832, 824 is 2

Given Input Data is 896, 654, 832, 824

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 654 is 2 x 3 x 109

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 824 is 2 x 2 x 2 x 103

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 654) = 292992

GCD(896, 654) = ( 896 x 654 ) / 292992

GCD(896, 654) = 585984 / 292992

GCD(896, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 832

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

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

GCD(2, 832) = 1664 / 832

GCD(2, 832) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 896, 654, 832, 824 is 2

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1. What is the GCD of 896, 654, 832, 824?

GCD of 896, 654, 832, 824 is 2

2. Where do I get the detailed procedure to find GCD of 896, 654, 832, 824?

You can find a detailed procedure to find GCD of 896, 654, 832, 824 on our page.

3. How to find GCD of 896, 654, 832, 824 on a calculator?

You can find the GCD of 896, 654, 832, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.