GCD of 148, 310, 527 Calculator

Given Input numbers are 148, 310, 527

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 148, 310, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 310, 527 is 1.

Therefore, GCD of numbers 148, 310, 527 is 1

Given Input Data is 148, 310, 527

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 310 is 2 x 5 x 31

Prime Factorization of 527 is 17 x 31

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, 310) = 22940

GCD(148, 310) = ( 148 x 310 ) / 22940

GCD(148, 310) = 45880 / 22940

GCD(148, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 527

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

LCM(2, 527) = 1054

GCD(2, 527) = ( 2 x 527 ) / 1054

GCD(2, 527) = 1054 / 1054

GCD(2, 527) = 1

GCD of 148, 310, 527 is 1

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1. What is the GCD of 148, 310, 527?

GCD of 148, 310, 527 is 1

2. Where do I get the detailed procedure to find GCD of 148, 310, 527?

You can find a detailed procedure to find GCD of 148, 310, 527 on our page.

3. How to find GCD of 148, 310, 527 on a calculator?

You can find the GCD of 148, 310, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.