GCD of 414, 925, 852, 123 Calculator

Given Input numbers are 414, 925, 852, 123

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 123

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

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 414, 925, 852, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 925, 852, 123 is 1.

Therefore, GCD of numbers 414, 925, 852, 123 is 1

Given Input Data is 414, 925, 852, 123

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 123 is 3 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(414, 925) = 382950

GCD(414, 925) = ( 414 x 925 ) / 382950

GCD(414, 925) = 382950 / 382950

GCD(414, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

Step3:

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

GCD of 414, 925, 852, 123 is 1

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1. What is the GCD of 414, 925, 852, 123?

GCD of 414, 925, 852, 123 is 1

2. Where do I get the detailed procedure to find GCD of 414, 925, 852, 123?

You can find a detailed procedure to find GCD of 414, 925, 852, 123 on our page.

3. How to find GCD of 414, 925, 852, 123 on a calculator?

You can find the GCD of 414, 925, 852, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.