GCD of 160, 406, 744, 352 Calculator

Given Input numbers are 160, 406, 744, 352

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

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 160, 406, 744, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 406, 744, 352 is 2.

Therefore, GCD of numbers 160, 406, 744, 352 is 2

Given Input Data is 160, 406, 744, 352

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

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(160, 406) = 32480

GCD(160, 406) = ( 160 x 406 ) / 32480

GCD(160, 406) = 64960 / 32480

GCD(160, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 352

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

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

GCD(2, 352) = 704 / 352

GCD(2, 352) = 2

GCD of 160, 406, 744, 352 is 2

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1. What is the GCD of 160, 406, 744, 352?

GCD of 160, 406, 744, 352 is 2

2. Where do I get the detailed procedure to find GCD of 160, 406, 744, 352?

You can find a detailed procedure to find GCD of 160, 406, 744, 352 on our page.

3. How to find GCD of 160, 406, 744, 352 on a calculator?

You can find the GCD of 160, 406, 744, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.