GCD of 770, 212, 14, 794 Calculator

Given Input numbers are 770, 212, 14, 794

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

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 794

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

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 770, 212, 14, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 212, 14, 794 is 2.

Therefore, GCD of numbers 770, 212, 14, 794 is 2

Given Input Data is 770, 212, 14, 794

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 14 is 2 x 7

Prime Factorization of 794 is 2 x 397

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(770, 212) = 81620

GCD(770, 212) = ( 770 x 212 ) / 81620

GCD(770, 212) = 163240 / 81620

GCD(770, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 794

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

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

GCD(2, 794) = 1588 / 794

GCD(2, 794) = 2

GCD of 770, 212, 14, 794 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 146, 48, 343
• GCD of 961, 104, 96, 779
• GCD of 696, 992, 78, 429
• GCD of 399, 451, 40, 877
• GCD of 257, 760, 20, 430

1. What is the GCD of 770, 212, 14, 794?

GCD of 770, 212, 14, 794 is 2

2. Where do I get the detailed procedure to find GCD of 770, 212, 14, 794?

You can find a detailed procedure to find GCD of 770, 212, 14, 794 on our page.

3. How to find GCD of 770, 212, 14, 794 on a calculator?

You can find the GCD of 770, 212, 14, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.