GCD of 735, 358, 370, 825 Calculator

Given Input numbers are 735, 358, 370, 825

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

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 735, 358, 370, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 358, 370, 825 is 1.

Therefore, GCD of numbers 735, 358, 370, 825 is 1

Given Input Data is 735, 358, 370, 825

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

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(735, 358) = 263130

GCD(735, 358) = ( 735 x 358 ) / 263130

GCD(735, 358) = 263130 / 263130

GCD(735, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 735, 358, 370, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 643, 985, 375
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• GCD of 966, 756, 826, 530

1. What is the GCD of 735, 358, 370, 825?

GCD of 735, 358, 370, 825 is 1

2. Where do I get the detailed procedure to find GCD of 735, 358, 370, 825?

You can find a detailed procedure to find GCD of 735, 358, 370, 825 on our page.

3. How to find GCD of 735, 358, 370, 825 on a calculator?

You can find the GCD of 735, 358, 370, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.