GCD of 166, 305, 964, 705 Calculator

Given Input numbers are 166, 305, 964, 705

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

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 305

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

1, 5, 61, 305

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 166, 305, 964, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 305, 964, 705 is 1.

Therefore, GCD of numbers 166, 305, 964, 705 is 1

Given Input Data is 166, 305, 964, 705

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 305 is 5 x 61

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 705 is 3 x 5 x 47

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(166, 305) = 50630

GCD(166, 305) = ( 166 x 305 ) / 50630

GCD(166, 305) = 50630 / 50630

GCD(166, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 166, 305, 964, 705 is 1

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1. What is the GCD of 166, 305, 964, 705?

GCD of 166, 305, 964, 705 is 1

2. Where do I get the detailed procedure to find GCD of 166, 305, 964, 705?

You can find a detailed procedure to find GCD of 166, 305, 964, 705 on our page.

3. How to find GCD of 166, 305, 964, 705 on a calculator?

You can find the GCD of 166, 305, 964, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.