GCD of 160, 305, 508, 335 Calculator

Given Input numbers are 160, 305, 508, 335

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 160, 305, 508, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 305, 508, 335 is 1.

Therefore, GCD of numbers 160, 305, 508, 335 is 1

Given Input Data is 160, 305, 508, 335

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 305 is 5 x 61

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 335 is 5 x 67

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, 305) = 9760

GCD(160, 305) = ( 160 x 305 ) / 9760

GCD(160, 305) = 48800 / 9760

GCD(160, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 508

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

LCM(5, 508) = 2540

GCD(5, 508) = ( 5 x 508 ) / 2540

GCD(5, 508) = 2540 / 2540

GCD(5, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

GCD of 160, 305, 508, 335 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 158, 983, 827
• GCD of 869, 397, 476, 318
• GCD of 439, 364, 293, 199
• GCD of 840, 152, 504, 202
• GCD of 300, 960, 911, 126

1. What is the GCD of 160, 305, 508, 335?

GCD of 160, 305, 508, 335 is 1

2. Where do I get the detailed procedure to find GCD of 160, 305, 508, 335?

You can find a detailed procedure to find GCD of 160, 305, 508, 335 on our page.

3. How to find GCD of 160, 305, 508, 335 on a calculator?

You can find the GCD of 160, 305, 508, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.