GCD of 56, 735, 363, 235 Calculator

Given Input numbers are 56, 735, 363, 235

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 56, 735, 363, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 735, 363, 235 is 1.

Therefore, GCD of numbers 56, 735, 363, 235 is 1

Given Input Data is 56, 735, 363, 235

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 235 is 5 x 47

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(56, 735) = 5880

GCD(56, 735) = ( 56 x 735 ) / 5880

GCD(56, 735) = 41160 / 5880

GCD(56, 735) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 363

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

LCM(7, 363) = 2541

GCD(7, 363) = ( 7 x 363 ) / 2541

GCD(7, 363) = 2541 / 2541

GCD(7, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 56, 735, 363, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 416, 597, 292
• GCD of 79, 832, 142, 202
• GCD of 53, 446, 416, 720
• GCD of 10, 305, 168, 751
• GCD of 57, 230, 530, 465

1. What is the GCD of 56, 735, 363, 235?

GCD of 56, 735, 363, 235 is 1

2. Where do I get the detailed procedure to find GCD of 56, 735, 363, 235?

You can find a detailed procedure to find GCD of 56, 735, 363, 235 on our page.

3. How to find GCD of 56, 735, 363, 235 on a calculator?

You can find the GCD of 56, 735, 363, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.