GCD of 185, 896, 497, 100 Calculator

Given Input numbers are 185, 896, 497, 100

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 185, 896, 497, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 896, 497, 100 is 1.

Therefore, GCD of numbers 185, 896, 497, 100 is 1

Given Input Data is 185, 896, 497, 100

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

Prime Factorization of 185 is 5 x 37

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 100 is 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(185, 896) = 165760

GCD(185, 896) = ( 185 x 896 ) / 165760

GCD(185, 896) = 165760 / 165760

GCD(185, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 185, 896, 497, 100 is 1

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1. What is the GCD of 185, 896, 497, 100?

GCD of 185, 896, 497, 100 is 1

2. Where do I get the detailed procedure to find GCD of 185, 896, 497, 100?

You can find a detailed procedure to find GCD of 185, 896, 497, 100 on our page.

3. How to find GCD of 185, 896, 497, 100 on a calculator?

You can find the GCD of 185, 896, 497, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.