GCD of 897, 125, 66, 305 Calculator

Given Input numbers are 897, 125, 66, 305

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 897, 125, 66, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 125, 66, 305 is 1.

Therefore, GCD of numbers 897, 125, 66, 305 is 1

Given Input Data is 897, 125, 66, 305

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 305 is 5 x 61

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(897, 125) = 112125

GCD(897, 125) = ( 897 x 125 ) / 112125

GCD(897, 125) = 112125 / 112125

GCD(897, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 897, 125, 66, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 714, 75, 294
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• GCD of 896, 544, 48, 772

1. What is the GCD of 897, 125, 66, 305?

GCD of 897, 125, 66, 305 is 1

2. Where do I get the detailed procedure to find GCD of 897, 125, 66, 305?

You can find a detailed procedure to find GCD of 897, 125, 66, 305 on our page.

3. How to find GCD of 897, 125, 66, 305 on a calculator?

You can find the GCD of 897, 125, 66, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.