GCD of 116, 770, 119, 494 Calculator

Given Input numbers are 116, 770, 119, 494

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 116, 770, 119, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 770, 119, 494 is 1.

Therefore, GCD of numbers 116, 770, 119, 494 is 1

Given Input Data is 116, 770, 119, 494

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 770 is 2 x 5 x 7 x 11

Prime Factorization of 119 is 7 x 17

Prime Factorization of 494 is 2 x 13 x 19

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, 770) = 44660

GCD(116, 770) = ( 116 x 770 ) / 44660

GCD(116, 770) = 89320 / 44660

GCD(116, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 116, 770, 119, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 624, 375, 685
• GCD of 958, 819, 146, 670
• GCD of 300, 295, 225, 175
• GCD of 384, 614, 551, 216
• GCD of 585, 463, 512, 714

1. What is the GCD of 116, 770, 119, 494?

GCD of 116, 770, 119, 494 is 1

2. Where do I get the detailed procedure to find GCD of 116, 770, 119, 494?

You can find a detailed procedure to find GCD of 116, 770, 119, 494 on our page.

3. How to find GCD of 116, 770, 119, 494 on a calculator?

You can find the GCD of 116, 770, 119, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.