GCD of 123, 407, 160 Calculator

Given Input numbers are 123, 407, 160

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

Divisors of 123

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

1, 3, 41, 123

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 123, 407, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 407, 160 is 1.

Therefore, GCD of numbers 123, 407, 160 is 1

Given Input Data is 123, 407, 160

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 407 is 11 x 37

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(123, 407) = 50061

GCD(123, 407) = ( 123 x 407 ) / 50061

GCD(123, 407) = 50061 / 50061

GCD(123, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 123, 407, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 302, 503
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• GCD of 769, 881, 737

1. What is the GCD of 123, 407, 160?

GCD of 123, 407, 160 is 1

2. Where do I get the detailed procedure to find GCD of 123, 407, 160?

You can find a detailed procedure to find GCD of 123, 407, 160 on our page.

3. How to find GCD of 123, 407, 160 on a calculator?

You can find the GCD of 123, 407, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.