GCD of 260, 323, 200, 740 Calculator

Given Input numbers are 260, 323, 200, 740

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 260, 323, 200, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 323, 200, 740 is 1.

Therefore, GCD of numbers 260, 323, 200, 740 is 1

Given Input Data is 260, 323, 200, 740

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 323 is 17 x 19

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

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, 323) = 83980

GCD(260, 323) = ( 260 x 323 ) / 83980

GCD(260, 323) = 83980 / 83980

GCD(260, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 260, 323, 200, 740 is 1

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• GCD of 907, 643, 698, 500
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• GCD of 463, 801, 929, 664

1. What is the GCD of 260, 323, 200, 740?

GCD of 260, 323, 200, 740 is 1

2. Where do I get the detailed procedure to find GCD of 260, 323, 200, 740?

You can find a detailed procedure to find GCD of 260, 323, 200, 740 on our page.

3. How to find GCD of 260, 323, 200, 740 on a calculator?

You can find the GCD of 260, 323, 200, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.