GCD of 796, 114, 75, 350 Calculator

Given Input numbers are 796, 114, 75, 350

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 796, 114, 75, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 114, 75, 350 is 1.

Therefore, GCD of numbers 796, 114, 75, 350 is 1

Given Input Data is 796, 114, 75, 350

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(796, 114) = 45372

GCD(796, 114) = ( 796 x 114 ) / 45372

GCD(796, 114) = 90744 / 45372

GCD(796, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 796, 114, 75, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 893, 74, 730
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• GCD of 182, 190, 61, 879
• GCD of 210, 603, 40, 854
• GCD of 994, 575, 68, 356

1. What is the GCD of 796, 114, 75, 350?

GCD of 796, 114, 75, 350 is 1

2. Where do I get the detailed procedure to find GCD of 796, 114, 75, 350?

You can find a detailed procedure to find GCD of 796, 114, 75, 350 on our page.

3. How to find GCD of 796, 114, 75, 350 on a calculator?

You can find the GCD of 796, 114, 75, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.