GCD of 616, 305, 35, 213 Calculator

Given Input numbers are 616, 305, 35, 213

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 305

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

1, 5, 61, 305

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 616, 305, 35, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 305, 35, 213 is 1.

Therefore, GCD of numbers 616, 305, 35, 213 is 1

Given Input Data is 616, 305, 35, 213

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 305 is 5 x 61

Prime Factorization of 35 is 5 x 7

Prime Factorization of 213 is 3 x 71

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(616, 305) = 187880

GCD(616, 305) = ( 616 x 305 ) / 187880

GCD(616, 305) = 187880 / 187880

GCD(616, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 616, 305, 35, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 771, 92, 828
• GCD of 536, 986, 71, 408
• GCD of 667, 640, 40, 929
• GCD of 422, 538, 57, 391
• GCD of 808, 174, 17, 870

1. What is the GCD of 616, 305, 35, 213?

GCD of 616, 305, 35, 213 is 1

2. Where do I get the detailed procedure to find GCD of 616, 305, 35, 213?

You can find a detailed procedure to find GCD of 616, 305, 35, 213 on our page.

3. How to find GCD of 616, 305, 35, 213 on a calculator?

You can find the GCD of 616, 305, 35, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.