GCD of 794, 298, 77, 416 Calculator

Given Input numbers are 794, 298, 77, 416

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 794, 298, 77, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 298, 77, 416 is 1.

Therefore, GCD of numbers 794, 298, 77, 416 is 1

Given Input Data is 794, 298, 77, 416

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 298 is 2 x 149

Prime Factorization of 77 is 7 x 11

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(794, 298) = 118306

GCD(794, 298) = ( 794 x 298 ) / 118306

GCD(794, 298) = 236612 / 118306

GCD(794, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 794, 298, 77, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 888, 30, 695
• GCD of 794, 890, 82, 119
• GCD of 168, 827, 79, 446
• GCD of 588, 402, 37, 776
• GCD of 877, 380, 45, 335

1. What is the GCD of 794, 298, 77, 416?

GCD of 794, 298, 77, 416 is 1

2. Where do I get the detailed procedure to find GCD of 794, 298, 77, 416?

You can find a detailed procedure to find GCD of 794, 298, 77, 416 on our page.

3. How to find GCD of 794, 298, 77, 416 on a calculator?

You can find the GCD of 794, 298, 77, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.