GCD of 159, 746, 416 Calculator

Given Input numbers are 159, 746, 416

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 159, 746, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 746, 416 is 1.

Therefore, GCD of numbers 159, 746, 416 is 1

Given Input Data is 159, 746, 416

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 746 is 2 x 373

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(159, 746) = 118614

GCD(159, 746) = ( 159 x 746 ) / 118614

GCD(159, 746) = 118614 / 118614

GCD(159, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 159, 746, 416 is 1

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1. What is the GCD of 159, 746, 416?

GCD of 159, 746, 416 is 1

2. Where do I get the detailed procedure to find GCD of 159, 746, 416?

You can find a detailed procedure to find GCD of 159, 746, 416 on our page.

3. How to find GCD of 159, 746, 416 on a calculator?

You can find the GCD of 159, 746, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.