GCD of 148, 102, 830, 249 Calculator

Given Input numbers are 148, 102, 830, 249

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

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 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 148, 102, 830, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 102, 830, 249 is 1.

Therefore, GCD of numbers 148, 102, 830, 249 is 1

Given Input Data is 148, 102, 830, 249

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 249 is 3 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(148, 102) = 7548

GCD(148, 102) = ( 148 x 102 ) / 7548

GCD(148, 102) = 15096 / 7548

GCD(148, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 249

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

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

GCD(2, 249) = 498 / 498

GCD(2, 249) = 1

GCD of 148, 102, 830, 249 is 1

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1. What is the GCD of 148, 102, 830, 249?

GCD of 148, 102, 830, 249 is 1

2. Where do I get the detailed procedure to find GCD of 148, 102, 830, 249?

You can find a detailed procedure to find GCD of 148, 102, 830, 249 on our page.

3. How to find GCD of 148, 102, 830, 249 on a calculator?

You can find the GCD of 148, 102, 830, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.