GCD of 698, 896, 96, 436 Calculator

Given Input numbers are 698, 896, 96, 436

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

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 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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 698, 896, 96, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 896, 96, 436 is 2.

Therefore, GCD of numbers 698, 896, 96, 436 is 2

Given Input Data is 698, 896, 96, 436

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

Prime Factorization of 698 is 2 x 349

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

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

Prime Factorization of 436 is 2 x 2 x 109

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(698, 896) = 312704

GCD(698, 896) = ( 698 x 896 ) / 312704

GCD(698, 896) = 625408 / 312704

GCD(698, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

GCD of 698, 896, 96, 436 is 2

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1. What is the GCD of 698, 896, 96, 436?

GCD of 698, 896, 96, 436 is 2

2. Where do I get the detailed procedure to find GCD of 698, 896, 96, 436?

You can find a detailed procedure to find GCD of 698, 896, 96, 436 on our page.

3. How to find GCD of 698, 896, 96, 436 on a calculator?

You can find the GCD of 698, 896, 96, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.