GCD of 260, 148, 60, 649 Calculator

Given Input numbers are 260, 148, 60, 649

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 260, 148, 60, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 148, 60, 649 is 1.

Therefore, GCD of numbers 260, 148, 60, 649 is 1

Given Input Data is 260, 148, 60, 649

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 649 is 11 x 59

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(260, 148) = 9620

GCD(260, 148) = ( 260 x 148 ) / 9620

GCD(260, 148) = 38480 / 9620

GCD(260, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 60

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

LCM(4, 60) = 60

GCD(4, 60) = ( 4 x 60 ) / 60

GCD(4, 60) = 240 / 60

GCD(4, 60) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 649

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

LCM(4, 649) = 2596

GCD(4, 649) = ( 4 x 649 ) / 2596

GCD(4, 649) = 2596 / 2596

GCD(4, 649) = 1

GCD of 260, 148, 60, 649 is 1

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1. What is the GCD of 260, 148, 60, 649?

GCD of 260, 148, 60, 649 is 1

2. Where do I get the detailed procedure to find GCD of 260, 148, 60, 649?

You can find a detailed procedure to find GCD of 260, 148, 60, 649 on our page.

3. How to find GCD of 260, 148, 60, 649 on a calculator?

You can find the GCD of 260, 148, 60, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.