GCD of 830, 617, 44, 313 Calculator

Given Input numbers are 830, 617, 44, 313

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 830, 617, 44, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 617, 44, 313 is 1.

Therefore, GCD of numbers 830, 617, 44, 313 is 1

Given Input Data is 830, 617, 44, 313

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 617 is 617

Prime Factorization of 44 is 2 x 2 x 11

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(830, 617) = 512110

GCD(830, 617) = ( 830 x 617 ) / 512110

GCD(830, 617) = 512110 / 512110

GCD(830, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 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 830, 617, 44, 313 is 1

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• GCD of 772, 447, 21, 103
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• GCD of 417, 618, 78, 962

1. What is the GCD of 830, 617, 44, 313?

GCD of 830, 617, 44, 313 is 1

2. Where do I get the detailed procedure to find GCD of 830, 617, 44, 313?

You can find a detailed procedure to find GCD of 830, 617, 44, 313 on our page.

3. How to find GCD of 830, 617, 44, 313 on a calculator?

You can find the GCD of 830, 617, 44, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.