GCD of 735, 674, 815 Calculator

Given Input numbers are 735, 674, 815

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 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 735, 674, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 674, 815 is 1.

Therefore, GCD of numbers 735, 674, 815 is 1

Given Input Data is 735, 674, 815

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 674 is 2 x 337

Prime Factorization of 815 is 5 x 163

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, 674) = 495390

GCD(735, 674) = ( 735 x 674 ) / 495390

GCD(735, 674) = 495390 / 495390

GCD(735, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

GCD of 735, 674, 815 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 774, 749
• GCD of 769, 193, 301
• GCD of 332, 903, 121
• GCD of 308, 748, 668
• GCD of 256, 968, 637

1. What is the GCD of 735, 674, 815?

GCD of 735, 674, 815 is 1

2. Where do I get the detailed procedure to find GCD of 735, 674, 815?

You can find a detailed procedure to find GCD of 735, 674, 815 on our page.

3. How to find GCD of 735, 674, 815 on a calculator?

You can find the GCD of 735, 674, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.