GCD of 14, 146, 491, 850 Calculator

Given Input numbers are 14, 146, 491, 850

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 14, 146, 491, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 146, 491, 850 is 1.

Therefore, GCD of numbers 14, 146, 491, 850 is 1

Given Input Data is 14, 146, 491, 850

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 146 is 2 x 73

Prime Factorization of 491 is 491

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(14, 146) = 1022

GCD(14, 146) = ( 14 x 146 ) / 1022

GCD(14, 146) = 2044 / 1022

GCD(14, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 491

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

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

GCD(2, 491) = 982 / 982

GCD(2, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 14, 146, 491, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 587, 851, 159
• GCD of 89, 983, 153, 495
• GCD of 46, 383, 377, 709
• GCD of 85, 971, 519, 100
• GCD of 50, 240, 988, 280

1. What is the GCD of 14, 146, 491, 850?

GCD of 14, 146, 491, 850 is 1

2. Where do I get the detailed procedure to find GCD of 14, 146, 491, 850?

You can find a detailed procedure to find GCD of 14, 146, 491, 850 on our page.

3. How to find GCD of 14, 146, 491, 850 on a calculator?

You can find the GCD of 14, 146, 491, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.