GCD of 47, 351, 734, 525 Calculator

Given Input numbers are 47, 351, 734, 525

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 47, 351, 734, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 351, 734, 525 is 1.

Therefore, GCD of numbers 47, 351, 734, 525 is 1

Given Input Data is 47, 351, 734, 525

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

Prime Factorization of 47 is 47

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 734 is 2 x 367

Prime Factorization of 525 is 3 x 5 x 5 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(47, 351) = 16497

GCD(47, 351) = ( 47 x 351 ) / 16497

GCD(47, 351) = 16497 / 16497

GCD(47, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 47, 351, 734, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 282, 149, 121
• GCD of 75, 555, 501, 187
• GCD of 93, 466, 864, 228
• GCD of 88, 312, 752, 380
• GCD of 18, 330, 982, 671

1. What is the GCD of 47, 351, 734, 525?

GCD of 47, 351, 734, 525 is 1

2. Where do I get the detailed procedure to find GCD of 47, 351, 734, 525?

You can find a detailed procedure to find GCD of 47, 351, 734, 525 on our page.

3. How to find GCD of 47, 351, 734, 525 on a calculator?

You can find the GCD of 47, 351, 734, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.