GCD of 830, 410, 14, 149 Calculator

Given Input numbers are 830, 410, 14, 149

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 14

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

1, 2, 7, 14

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 830, 410, 14, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 410, 14, 149 is 1.

Therefore, GCD of numbers 830, 410, 14, 149 is 1

Given Input Data is 830, 410, 14, 149

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 14 is 2 x 7

Prime Factorization of 149 is 149

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(830, 410) = 34030

GCD(830, 410) = ( 830 x 410 ) / 34030

GCD(830, 410) = 340300 / 34030

GCD(830, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 14

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

LCM(10, 14) = 70

GCD(10, 14) = ( 10 x 14 ) / 70

GCD(10, 14) = 140 / 70

GCD(10, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 149

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

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

GCD(2, 149) = 298 / 298

GCD(2, 149) = 1

GCD of 830, 410, 14, 149 is 1

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• GCD of 608, 708, 78, 624
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• GCD of 631, 625, 15, 852

1. What is the GCD of 830, 410, 14, 149?

GCD of 830, 410, 14, 149 is 1

2. Where do I get the detailed procedure to find GCD of 830, 410, 14, 149?

You can find a detailed procedure to find GCD of 830, 410, 14, 149 on our page.

3. How to find GCD of 830, 410, 14, 149 on a calculator?

You can find the GCD of 830, 410, 14, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.