GCD of 925, 898, 96, 656 Calculator

Given Input numbers are 925, 898, 96, 656

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

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 925, 898, 96, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 898, 96, 656 is 1.

Therefore, GCD of numbers 925, 898, 96, 656 is 1

Given Input Data is 925, 898, 96, 656

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 898 is 2 x 449

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(925, 898) = 830650

GCD(925, 898) = ( 925 x 898 ) / 830650

GCD(925, 898) = 830650 / 830650

GCD(925, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 925, 898, 96, 656 is 1

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1. What is the GCD of 925, 898, 96, 656?

GCD of 925, 898, 96, 656 is 1

2. Where do I get the detailed procedure to find GCD of 925, 898, 96, 656?

You can find a detailed procedure to find GCD of 925, 898, 96, 656 on our page.

3. How to find GCD of 925, 898, 96, 656 on a calculator?

You can find the GCD of 925, 898, 96, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.