GCD of 770, 838, 14, 913 Calculator

Given Input numbers are 770, 838, 14, 913

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 14

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

1, 2, 7, 14

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 770, 838, 14, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 838, 14, 913 is 1.

Therefore, GCD of numbers 770, 838, 14, 913 is 1

Given Input Data is 770, 838, 14, 913

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 838 is 2 x 419

Prime Factorization of 14 is 2 x 7

Prime Factorization of 913 is 11 x 83

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(770, 838) = 322630

GCD(770, 838) = ( 770 x 838 ) / 322630

GCD(770, 838) = 645260 / 322630

GCD(770, 838) = 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 913

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

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

GCD(2, 913) = 1826 / 1826

GCD(2, 913) = 1

GCD of 770, 838, 14, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 580, 37, 704
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• GCD of 634, 279, 97, 818

1. What is the GCD of 770, 838, 14, 913?

GCD of 770, 838, 14, 913 is 1

2. Where do I get the detailed procedure to find GCD of 770, 838, 14, 913?

You can find a detailed procedure to find GCD of 770, 838, 14, 913 on our page.

3. How to find GCD of 770, 838, 14, 913 on a calculator?

You can find the GCD of 770, 838, 14, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.