GCD of 690, 655, 49, 345 Calculator

Given Input numbers are 690, 655, 49, 345

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 345

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

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

Greatest Common Divisior

We found the divisors of 690, 655, 49, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 655, 49, 345 is 1.

Therefore, GCD of numbers 690, 655, 49, 345 is 1

Given Input Data is 690, 655, 49, 345

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 655 is 5 x 131

Prime Factorization of 49 is 7 x 7

Prime Factorization of 345 is 3 x 5 x 23

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(690, 655) = 90390

GCD(690, 655) = ( 690 x 655 ) / 90390

GCD(690, 655) = 451950 / 90390

GCD(690, 655) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 49

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

LCM(5, 49) = 245

GCD(5, 49) = ( 5 x 49 ) / 245

GCD(5, 49) = 245 / 245

GCD(5, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 690, 655, 49, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 253, 55, 186
• GCD of 669, 322, 52, 684
• GCD of 258, 929, 73, 262
• GCD of 835, 264, 51, 879
• GCD of 777, 532, 26, 251

1. What is the GCD of 690, 655, 49, 345?

GCD of 690, 655, 49, 345 is 1

2. Where do I get the detailed procedure to find GCD of 690, 655, 49, 345?

You can find a detailed procedure to find GCD of 690, 655, 49, 345 on our page.

3. How to find GCD of 690, 655, 49, 345 on a calculator?

You can find the GCD of 690, 655, 49, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.