GCD of 116, 651, 51, 830 Calculator

Given Input numbers are 116, 651, 51, 830

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 830

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

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

Greatest Common Divisior

We found the divisors of 116, 651, 51, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 651, 51, 830 is 1.

Therefore, GCD of numbers 116, 651, 51, 830 is 1

Given Input Data is 116, 651, 51, 830

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 51 is 3 x 17

Prime Factorization of 830 is 2 x 5 x 83

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(116, 651) = 75516

GCD(116, 651) = ( 116 x 651 ) / 75516

GCD(116, 651) = 75516 / 75516

GCD(116, 651) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 116, 651, 51, 830 is 1

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1. What is the GCD of 116, 651, 51, 830?

GCD of 116, 651, 51, 830 is 1

2. Where do I get the detailed procedure to find GCD of 116, 651, 51, 830?

You can find a detailed procedure to find GCD of 116, 651, 51, 830 on our page.

3. How to find GCD of 116, 651, 51, 830 on a calculator?

You can find the GCD of 116, 651, 51, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.