GCD of 851, 313, 366, 735 Calculator

Given Input numbers are 851, 313, 366, 735

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 851, 313, 366, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 313, 366, 735 is 1.

Therefore, GCD of numbers 851, 313, 366, 735 is 1

Given Input Data is 851, 313, 366, 735

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

Prime Factorization of 851 is 23 x 37

Prime Factorization of 313 is 313

Prime Factorization of 366 is 2 x 3 x 61

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(851, 313) = 266363

GCD(851, 313) = ( 851 x 313 ) / 266363

GCD(851, 313) = 266363 / 266363

GCD(851, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 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 851, 313, 366, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 387, 778, 246
• GCD of 101, 534, 584, 594
• GCD of 105, 280, 631, 989
• GCD of 835, 804, 140, 790
• GCD of 728, 723, 247, 179

1. What is the GCD of 851, 313, 366, 735?

GCD of 851, 313, 366, 735 is 1

2. Where do I get the detailed procedure to find GCD of 851, 313, 366, 735?

You can find a detailed procedure to find GCD of 851, 313, 366, 735 on our page.

3. How to find GCD of 851, 313, 366, 735 on a calculator?

You can find the GCD of 851, 313, 366, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.