GCD of 875, 295, 47, 735 Calculator

Given Input numbers are 875, 295, 47, 735

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

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 47

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

1, 47

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 875, 295, 47, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 295, 47, 735 is 1.

Therefore, GCD of numbers 875, 295, 47, 735 is 1

Given Input Data is 875, 295, 47, 735

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 295 is 5 x 59

Prime Factorization of 47 is 47

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(875, 295) = 51625

GCD(875, 295) = ( 875 x 295 ) / 51625

GCD(875, 295) = 258125 / 51625

GCD(875, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 47

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

LCM(5, 47) = 235

GCD(5, 47) = ( 5 x 47 ) / 235

GCD(5, 47) = 235 / 235

GCD(5, 47) = 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 875, 295, 47, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 684, 11, 144
• GCD of 213, 500, 46, 259
• GCD of 344, 674, 96, 651
• GCD of 578, 400, 46, 316
• GCD of 964, 655, 46, 507

1. What is the GCD of 875, 295, 47, 735?

GCD of 875, 295, 47, 735 is 1

2. Where do I get the detailed procedure to find GCD of 875, 295, 47, 735?

You can find a detailed procedure to find GCD of 875, 295, 47, 735 on our page.

3. How to find GCD of 875, 295, 47, 735 on a calculator?

You can find the GCD of 875, 295, 47, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.