GCD of 818, 105, 616, 754 Calculator

Given Input numbers are 818, 105, 616, 754

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

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 818, 105, 616, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 818, 105, 616, 754 is 1.

Therefore, GCD of numbers 818, 105, 616, 754 is 1

Given Input Data is 818, 105, 616, 754

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

Prime Factorization of 818 is 2 x 409

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 754 is 2 x 13 x 29

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(818, 105) = 85890

GCD(818, 105) = ( 818 x 105 ) / 85890

GCD(818, 105) = 85890 / 85890

GCD(818, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 818, 105, 616, 754 is 1

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1. What is the GCD of 818, 105, 616, 754?

GCD of 818, 105, 616, 754 is 1

2. Where do I get the detailed procedure to find GCD of 818, 105, 616, 754?

You can find a detailed procedure to find GCD of 818, 105, 616, 754 on our page.

3. How to find GCD of 818, 105, 616, 754 on a calculator?

You can find the GCD of 818, 105, 616, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.