GCD of 846, 317, 497, 735 Calculator

Given Input numbers are 846, 317, 497, 735

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 317

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

1, 317

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

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

Greatest Common Divisior

We found the divisors of 846, 317, 497, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 317, 497, 735 is 1.

Therefore, GCD of numbers 846, 317, 497, 735 is 1

Given Input Data is 846, 317, 497, 735

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 317 is 317

Prime Factorization of 497 is 7 x 71

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

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(846, 317) = 268182

GCD(846, 317) = ( 846 x 317 ) / 268182

GCD(846, 317) = 268182 / 268182

GCD(846, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 846, 317, 497, 735 is 1

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1. What is the GCD of 846, 317, 497, 735?

GCD of 846, 317, 497, 735 is 1

2. Where do I get the detailed procedure to find GCD of 846, 317, 497, 735?

You can find a detailed procedure to find GCD of 846, 317, 497, 735 on our page.

3. How to find GCD of 846, 317, 497, 735 on a calculator?

You can find the GCD of 846, 317, 497, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.