GCD of 149, 339, 948, 510 Calculator

Given Input numbers are 149, 339, 948, 510

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

Divisors of 149

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

1, 149

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 149, 339, 948, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 339, 948, 510 is 1.

Therefore, GCD of numbers 149, 339, 948, 510 is 1

Given Input Data is 149, 339, 948, 510

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

Prime Factorization of 149 is 149

Prime Factorization of 339 is 3 x 113

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 510 is 2 x 3 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(149, 339) = 50511

GCD(149, 339) = ( 149 x 339 ) / 50511

GCD(149, 339) = 50511 / 50511

GCD(149, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 149, 339, 948, 510 is 1

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1. What is the GCD of 149, 339, 948, 510?

GCD of 149, 339, 948, 510 is 1

2. Where do I get the detailed procedure to find GCD of 149, 339, 948, 510?

You can find a detailed procedure to find GCD of 149, 339, 948, 510 on our page.

3. How to find GCD of 149, 339, 948, 510 on a calculator?

You can find the GCD of 149, 339, 948, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.