GCD of 345, 770, 206 Calculator

Given Input numbers are 345, 770, 206

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 345, 770, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 770, 206 is 1.

Therefore, GCD of numbers 345, 770, 206 is 1

Given Input Data is 345, 770, 206

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 206 is 2 x 103

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(345, 770) = 53130

GCD(345, 770) = ( 345 x 770 ) / 53130

GCD(345, 770) = 265650 / 53130

GCD(345, 770) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 206

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

LCM(5, 206) = 1030

GCD(5, 206) = ( 5 x 206 ) / 1030

GCD(5, 206) = 1030 / 1030

GCD(5, 206) = 1

GCD of 345, 770, 206 is 1

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1. What is the GCD of 345, 770, 206?

GCD of 345, 770, 206 is 1

2. Where do I get the detailed procedure to find GCD of 345, 770, 206?

You can find a detailed procedure to find GCD of 345, 770, 206 on our page.

3. How to find GCD of 345, 770, 206 on a calculator?

You can find the GCD of 345, 770, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.