GCD of 900, 893, 94, 688 Calculator

Given Input numbers are 900, 893, 94, 688

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

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

Greatest Common Divisior

We found the divisors of 900, 893, 94, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 893, 94, 688 is 1.

Therefore, GCD of numbers 900, 893, 94, 688 is 1

Given Input Data is 900, 893, 94, 688

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 893 is 19 x 47

Prime Factorization of 94 is 2 x 47

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

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(900, 893) = 803700

GCD(900, 893) = ( 900 x 893 ) / 803700

GCD(900, 893) = 803700 / 803700

GCD(900, 893) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 94

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

LCM(1, 94) = 94

GCD(1, 94) = ( 1 x 94 ) / 94

GCD(1, 94) = 94 / 94

GCD(1, 94) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 900, 893, 94, 688 is 1

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1. What is the GCD of 900, 893, 94, 688?

GCD of 900, 893, 94, 688 is 1

2. Where do I get the detailed procedure to find GCD of 900, 893, 94, 688?

You can find a detailed procedure to find GCD of 900, 893, 94, 688 on our page.

3. How to find GCD of 900, 893, 94, 688 on a calculator?

You can find the GCD of 900, 893, 94, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.