GCD of 848, 735, 129, 313 Calculator

Given Input numbers are 848, 735, 129, 313

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

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 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 313

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

1, 313

Greatest Common Divisior

We found the divisors of 848, 735, 129, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 735, 129, 313 is 1.

Therefore, GCD of numbers 848, 735, 129, 313 is 1

Given Input Data is 848, 735, 129, 313

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 313 is 313

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(848, 735) = 623280

GCD(848, 735) = ( 848 x 735 ) / 623280

GCD(848, 735) = 623280 / 623280

GCD(848, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 848, 735, 129, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 260, 107, 726
• GCD of 941, 626, 104, 100
• GCD of 519, 978, 638, 341
• GCD of 479, 142, 584, 590
• GCD of 382, 849, 972, 845

1. What is the GCD of 848, 735, 129, 313?

GCD of 848, 735, 129, 313 is 1

2. Where do I get the detailed procedure to find GCD of 848, 735, 129, 313?

You can find a detailed procedure to find GCD of 848, 735, 129, 313 on our page.

3. How to find GCD of 848, 735, 129, 313 on a calculator?

You can find the GCD of 848, 735, 129, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.