GCD of 125, 898, 123, 774 Calculator

Given Input numbers are 125, 898, 123, 774

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

Divisors of 125

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

1, 5, 25, 125

Divisors of 898

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

1, 2, 449, 898

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 125, 898, 123, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 898, 123, 774 is 1.

Therefore, GCD of numbers 125, 898, 123, 774 is 1

Given Input Data is 125, 898, 123, 774

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 898 is 2 x 449

Prime Factorization of 123 is 3 x 41

Prime Factorization of 774 is 2 x 3 x 3 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(125, 898) = 112250

GCD(125, 898) = ( 125 x 898 ) / 112250

GCD(125, 898) = 112250 / 112250

GCD(125, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 125, 898, 123, 774 is 1

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1. What is the GCD of 125, 898, 123, 774?

GCD of 125, 898, 123, 774 is 1

2. Where do I get the detailed procedure to find GCD of 125, 898, 123, 774?

You can find a detailed procedure to find GCD of 125, 898, 123, 774 on our page.

3. How to find GCD of 125, 898, 123, 774 on a calculator?

You can find the GCD of 125, 898, 123, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.