GCD of 148, 290, 652 Calculator

Given Input numbers are 148, 290, 652

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 148, 290, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 290, 652 is 2.

Therefore, GCD of numbers 148, 290, 652 is 2

Given Input Data is 148, 290, 652

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 290 is 2 x 5 x 29

Prime Factorization of 652 is 2 x 2 x 163

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 290) = 21460

GCD(148, 290) = ( 148 x 290 ) / 21460

GCD(148, 290) = 42920 / 21460

GCD(148, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

GCD of 148, 290, 652 is 2

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1. What is the GCD of 148, 290, 652?

GCD of 148, 290, 652 is 2

2. Where do I get the detailed procedure to find GCD of 148, 290, 652?

You can find a detailed procedure to find GCD of 148, 290, 652 on our page.

3. How to find GCD of 148, 290, 652 on a calculator?

You can find the GCD of 148, 290, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.