GCD of 69, 360, 170, 199 Calculator

Given Input numbers are 69, 360, 170, 199

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 69, 360, 170, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 360, 170, 199 is 1.

Therefore, GCD of numbers 69, 360, 170, 199 is 1

Given Input Data is 69, 360, 170, 199

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

Prime Factorization of 69 is 3 x 23

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 199 is 199

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(69, 360) = 8280

GCD(69, 360) = ( 69 x 360 ) / 8280

GCD(69, 360) = 24840 / 8280

GCD(69, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 170

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

LCM(3, 170) = 510

GCD(3, 170) = ( 3 x 170 ) / 510

GCD(3, 170) = 510 / 510

GCD(3, 170) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 69, 360, 170, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 402, 316, 674
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• GCD of 15, 439, 492, 761
• GCD of 82, 136, 357, 149
• GCD of 41, 942, 927, 897

1. What is the GCD of 69, 360, 170, 199?

GCD of 69, 360, 170, 199 is 1

2. Where do I get the detailed procedure to find GCD of 69, 360, 170, 199?

You can find a detailed procedure to find GCD of 69, 360, 170, 199 on our page.

3. How to find GCD of 69, 360, 170, 199 on a calculator?

You can find the GCD of 69, 360, 170, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.