GCD of 705, 735, 302, 317 Calculator

Given Input numbers are 705, 735, 302, 317

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

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 705, 735, 302, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 735, 302, 317 is 1.

Therefore, GCD of numbers 705, 735, 302, 317 is 1

Given Input Data is 705, 735, 302, 317

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 302 is 2 x 151

Prime Factorization of 317 is 317

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(705, 735) = 34545

GCD(705, 735) = ( 705 x 735 ) / 34545

GCD(705, 735) = 518175 / 34545

GCD(705, 735) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 302

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

LCM(15, 302) = 4530

GCD(15, 302) = ( 15 x 302 ) / 4530

GCD(15, 302) = 4530 / 4530

GCD(15, 302) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 705, 735, 302, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 451, 591, 141
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• GCD of 183, 856, 441, 532
• GCD of 813, 780, 518, 512
• GCD of 248, 320, 522, 105

1. What is the GCD of 705, 735, 302, 317?

GCD of 705, 735, 302, 317 is 1

2. Where do I get the detailed procedure to find GCD of 705, 735, 302, 317?

You can find a detailed procedure to find GCD of 705, 735, 302, 317 on our page.

3. How to find GCD of 705, 735, 302, 317 on a calculator?

You can find the GCD of 705, 735, 302, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.