GCD of 349, 185, 315, 787 Calculator

Given Input numbers are 349, 185, 315, 787

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 349, 185, 315, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 185, 315, 787 is 1.

Therefore, GCD of numbers 349, 185, 315, 787 is 1

Given Input Data is 349, 185, 315, 787

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

Prime Factorization of 349 is 349

Prime Factorization of 185 is 5 x 37

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 787 is 787

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(349, 185) = 64565

GCD(349, 185) = ( 349 x 185 ) / 64565

GCD(349, 185) = 64565 / 64565

GCD(349, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 787

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

LCM(1, 787) = 787

GCD(1, 787) = ( 1 x 787 ) / 787

GCD(1, 787) = 787 / 787

GCD(1, 787) = 1

GCD of 349, 185, 315, 787 is 1

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1. What is the GCD of 349, 185, 315, 787?

GCD of 349, 185, 315, 787 is 1

2. Where do I get the detailed procedure to find GCD of 349, 185, 315, 787?

You can find a detailed procedure to find GCD of 349, 185, 315, 787 on our page.

3. How to find GCD of 349, 185, 315, 787 on a calculator?

You can find the GCD of 349, 185, 315, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.