GCD of 836, 688, 414, 896 Calculator

Given Input numbers are 836, 688, 414, 896

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

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 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

Greatest Common Divisior

We found the divisors of 836, 688, 414, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 688, 414, 896 is 2.

Therefore, GCD of numbers 836, 688, 414, 896 is 2

Given Input Data is 836, 688, 414, 896

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

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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

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

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(836, 688) = 143792

GCD(836, 688) = ( 836 x 688 ) / 143792

GCD(836, 688) = 575168 / 143792

GCD(836, 688) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 414

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

LCM(4, 414) = 828

GCD(4, 414) = ( 4 x 414 ) / 828

GCD(4, 414) = 1656 / 828

GCD(4, 414) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

GCD of 836, 688, 414, 896 is 2

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1. What is the GCD of 836, 688, 414, 896?

GCD of 836, 688, 414, 896 is 2

2. Where do I get the detailed procedure to find GCD of 836, 688, 414, 896?

You can find a detailed procedure to find GCD of 836, 688, 414, 896 on our page.

3. How to find GCD of 836, 688, 414, 896 on a calculator?

You can find the GCD of 836, 688, 414, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.