GCD of 359, 704, 75, 527 Calculator

Given Input numbers are 359, 704, 75, 527

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 359, 704, 75, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 704, 75, 527 is 1.

Therefore, GCD of numbers 359, 704, 75, 527 is 1

Given Input Data is 359, 704, 75, 527

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

Prime Factorization of 359 is 359

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 527 is 17 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(359, 704) = 252736

GCD(359, 704) = ( 359 x 704 ) / 252736

GCD(359, 704) = 252736 / 252736

GCD(359, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 359, 704, 75, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 835, 69, 990
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• GCD of 664, 718, 95, 746
• GCD of 500, 307, 94, 308

1. What is the GCD of 359, 704, 75, 527?

GCD of 359, 704, 75, 527 is 1

2. Where do I get the detailed procedure to find GCD of 359, 704, 75, 527?

You can find a detailed procedure to find GCD of 359, 704, 75, 527 on our page.

3. How to find GCD of 359, 704, 75, 527 on a calculator?

You can find the GCD of 359, 704, 75, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.