GCD of 14, 105, 889, 385 Calculator

Given Input numbers are 14, 105, 889, 385

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 14, 105, 889, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 105, 889, 385 is 7.

Therefore, GCD of numbers 14, 105, 889, 385 is 7

Given Input Data is 14, 105, 889, 385

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 889 is 7 x 127

Prime Factorization of 385 is 5 x 7 x 11

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(14, 105) = 210

GCD(14, 105) = ( 14 x 105 ) / 210

GCD(14, 105) = 1470 / 210

GCD(14, 105) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 889

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

LCM(7, 889) = 889

GCD(7, 889) = ( 7 x 889 ) / 889

GCD(7, 889) = 6223 / 889

GCD(7, 889) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 385

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

LCM(7, 385) = 385

GCD(7, 385) = ( 7 x 385 ) / 385

GCD(7, 385) = 2695 / 385

GCD(7, 385) = 7

GCD of 14, 105, 889, 385 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 310, 202, 748
• GCD of 94, 788, 610, 890
• GCD of 29, 483, 224, 152
• GCD of 78, 674, 255, 777
• GCD of 94, 146, 892, 244

1. What is the GCD of 14, 105, 889, 385?

GCD of 14, 105, 889, 385 is 7

2. Where do I get the detailed procedure to find GCD of 14, 105, 889, 385?

You can find a detailed procedure to find GCD of 14, 105, 889, 385 on our page.

3. How to find GCD of 14, 105, 889, 385 on a calculator?

You can find the GCD of 14, 105, 889, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.