GCD of 76, 494, 160, 896 Calculator

Given Input numbers are 76, 494, 160, 896

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 76, 494, 160, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 494, 160, 896 is 2.

Therefore, GCD of numbers 76, 494, 160, 896 is 2

Given Input Data is 76, 494, 160, 896

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(76, 494) = 988

GCD(76, 494) = ( 76 x 494 ) / 988

GCD(76, 494) = 37544 / 988

GCD(76, 494) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 160

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

LCM(38, 160) = 3040

GCD(38, 160) = ( 38 x 160 ) / 3040

GCD(38, 160) = 6080 / 3040

GCD(38, 160) = 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 76, 494, 160, 896 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 891, 834, 882
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• GCD of 35, 320, 556, 794

1. What is the GCD of 76, 494, 160, 896?

GCD of 76, 494, 160, 896 is 2

2. Where do I get the detailed procedure to find GCD of 76, 494, 160, 896?

You can find a detailed procedure to find GCD of 76, 494, 160, 896 on our page.

3. How to find GCD of 76, 494, 160, 896 on a calculator?

You can find the GCD of 76, 494, 160, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.