GCD of 655, 346, 34, 360 Calculator

Given Input numbers are 655, 346, 34, 360

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

Divisors of 655

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

1, 5, 131, 655

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 655, 346, 34, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 346, 34, 360 is 1.

Therefore, GCD of numbers 655, 346, 34, 360 is 1

Given Input Data is 655, 346, 34, 360

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 346 is 2 x 173

Prime Factorization of 34 is 2 x 17

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(655, 346) = 226630

GCD(655, 346) = ( 655 x 346 ) / 226630

GCD(655, 346) = 226630 / 226630

GCD(655, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 655, 346, 34, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 371, 26, 774
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• GCD of 253, 627, 96, 928
• GCD of 325, 450, 15, 135
• GCD of 674, 170, 37, 351

1. What is the GCD of 655, 346, 34, 360?

GCD of 655, 346, 34, 360 is 1

2. Where do I get the detailed procedure to find GCD of 655, 346, 34, 360?

You can find a detailed procedure to find GCD of 655, 346, 34, 360 on our page.

3. How to find GCD of 655, 346, 34, 360 on a calculator?

You can find the GCD of 655, 346, 34, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.