GCD of 35, 483, 107, 713 Calculator

Given Input numbers are 35, 483, 107, 713

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 35, 483, 107, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 483, 107, 713 is 1.

Therefore, GCD of numbers 35, 483, 107, 713 is 1

Given Input Data is 35, 483, 107, 713

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 107 is 107

Prime Factorization of 713 is 23 x 31

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(35, 483) = 2415

GCD(35, 483) = ( 35 x 483 ) / 2415

GCD(35, 483) = 16905 / 2415

GCD(35, 483) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 107

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

LCM(7, 107) = 749

GCD(7, 107) = ( 7 x 107 ) / 749

GCD(7, 107) = 749 / 749

GCD(7, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 35, 483, 107, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 357, 459, 664
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• GCD of 53, 144, 243, 940
• GCD of 98, 493, 928, 141

1. What is the GCD of 35, 483, 107, 713?

GCD of 35, 483, 107, 713 is 1

2. Where do I get the detailed procedure to find GCD of 35, 483, 107, 713?

You can find a detailed procedure to find GCD of 35, 483, 107, 713 on our page.

3. How to find GCD of 35, 483, 107, 713 on a calculator?

You can find the GCD of 35, 483, 107, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.