GCD of 315, 704, 377, 775 Calculator

Given Input numbers are 315, 704, 377, 775

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

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 315, 704, 377, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 704, 377, 775 is 1.

Therefore, GCD of numbers 315, 704, 377, 775 is 1

Given Input Data is 315, 704, 377, 775

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

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 377 is 13 x 29

Prime Factorization of 775 is 5 x 5 x 31

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(315, 704) = 221760

GCD(315, 704) = ( 315 x 704 ) / 221760

GCD(315, 704) = 221760 / 221760

GCD(315, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 315, 704, 377, 775 is 1

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1. What is the GCD of 315, 704, 377, 775?

GCD of 315, 704, 377, 775 is 1

2. Where do I get the detailed procedure to find GCD of 315, 704, 377, 775?

You can find a detailed procedure to find GCD of 315, 704, 377, 775 on our page.

3. How to find GCD of 315, 704, 377, 775 on a calculator?

You can find the GCD of 315, 704, 377, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.