GCD of 705, 966, 35, 305 Calculator

Given Input numbers are 705, 966, 35, 305

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 35

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

1, 5, 7, 35

Divisors of 305

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

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 705, 966, 35, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 966, 35, 305 is 1.

Therefore, GCD of numbers 705, 966, 35, 305 is 1

Given Input Data is 705, 966, 35, 305

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 35 is 5 x 7

Prime Factorization of 305 is 5 x 61

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(705, 966) = 227010

GCD(705, 966) = ( 705 x 966 ) / 227010

GCD(705, 966) = 681030 / 227010

GCD(705, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 35

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

LCM(3, 35) = 105

GCD(3, 35) = ( 3 x 35 ) / 105

GCD(3, 35) = 105 / 105

GCD(3, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 705, 966, 35, 305 is 1

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1. What is the GCD of 705, 966, 35, 305?

GCD of 705, 966, 35, 305 is 1

2. Where do I get the detailed procedure to find GCD of 705, 966, 35, 305?

You can find a detailed procedure to find GCD of 705, 966, 35, 305 on our page.

3. How to find GCD of 705, 966, 35, 305 on a calculator?

You can find the GCD of 705, 966, 35, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.