GCD of 748, 789, 160 Calculator

Given Input numbers are 748, 789, 160

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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 748, 789, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 789, 160 is 1.

Therefore, GCD of numbers 748, 789, 160 is 1

Given Input Data is 748, 789, 160

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 789 is 3 x 263

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(748, 789) = 590172

GCD(748, 789) = ( 748 x 789 ) / 590172

GCD(748, 789) = 590172 / 590172

GCD(748, 789) = 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 748, 789, 160 is 1

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1. What is the GCD of 748, 789, 160?

GCD of 748, 789, 160 is 1

2. Where do I get the detailed procedure to find GCD of 748, 789, 160?

You can find a detailed procedure to find GCD of 748, 789, 160 on our page.

3. How to find GCD of 748, 789, 160 on a calculator?

You can find the GCD of 748, 789, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.