GCD of 135, 705, 470, 283 Calculator

Given Input numbers are 135, 705, 470, 283

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 705

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

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Greatest Common Divisior

We found the divisors of 135, 705, 470, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 705, 470, 283 is 1.

Therefore, GCD of numbers 135, 705, 470, 283 is 1

Given Input Data is 135, 705, 470, 283

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 283 is 283

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(135, 705) = 6345

GCD(135, 705) = ( 135 x 705 ) / 6345

GCD(135, 705) = 95175 / 6345

GCD(135, 705) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 470

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

LCM(15, 470) = 1410

GCD(15, 470) = ( 15 x 470 ) / 1410

GCD(15, 470) = 7050 / 1410

GCD(15, 470) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 283

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

LCM(5, 283) = 1415

GCD(5, 283) = ( 5 x 283 ) / 1415

GCD(5, 283) = 1415 / 1415

GCD(5, 283) = 1

GCD of 135, 705, 470, 283 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 324, 473, 634
• GCD of 751, 373, 381, 723
• GCD of 477, 268, 239, 445
• GCD of 823, 894, 313, 803
• GCD of 383, 823, 804, 272

1. What is the GCD of 135, 705, 470, 283?

GCD of 135, 705, 470, 283 is 1

2. Where do I get the detailed procedure to find GCD of 135, 705, 470, 283?

You can find a detailed procedure to find GCD of 135, 705, 470, 283 on our page.

3. How to find GCD of 135, 705, 470, 283 on a calculator?

You can find the GCD of 135, 705, 470, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.