GCD of 160, 270, 338, 711 Calculator

Given Input numbers are 160, 270, 338, 711

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 160, 270, 338, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 270, 338, 711 is 1.

Therefore, GCD of numbers 160, 270, 338, 711 is 1

Given Input Data is 160, 270, 338, 711

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 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 711 is 3 x 3 x 79

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(160, 270) = 4320

GCD(160, 270) = ( 160 x 270 ) / 4320

GCD(160, 270) = 43200 / 4320

GCD(160, 270) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 338

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

LCM(10, 338) = 1690

GCD(10, 338) = ( 10 x 338 ) / 1690

GCD(10, 338) = 3380 / 1690

GCD(10, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 711

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

LCM(2, 711) = 1422

GCD(2, 711) = ( 2 x 711 ) / 1422

GCD(2, 711) = 1422 / 1422

GCD(2, 711) = 1

GCD of 160, 270, 338, 711 is 1

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1. What is the GCD of 160, 270, 338, 711?

GCD of 160, 270, 338, 711 is 1

2. Where do I get the detailed procedure to find GCD of 160, 270, 338, 711?

You can find a detailed procedure to find GCD of 160, 270, 338, 711 on our page.

3. How to find GCD of 160, 270, 338, 711 on a calculator?

You can find the GCD of 160, 270, 338, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.