GCD of 725, 649, 34, 284 Calculator

Given Input numbers are 725, 649, 34, 284

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 649

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

1, 11, 59, 649

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 725, 649, 34, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 649, 34, 284 is 1.

Therefore, GCD of numbers 725, 649, 34, 284 is 1

Given Input Data is 725, 649, 34, 284

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 649 is 11 x 59

Prime Factorization of 34 is 2 x 17

Prime Factorization of 284 is 2 x 2 x 71

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(725, 649) = 470525

GCD(725, 649) = ( 725 x 649 ) / 470525

GCD(725, 649) = 470525 / 470525

GCD(725, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 725, 649, 34, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 968, 36, 365
• GCD of 489, 868, 40, 281
• GCD of 216, 939, 63, 869
• GCD of 245, 864, 77, 340
• GCD of 579, 549, 50, 848

1. What is the GCD of 725, 649, 34, 284?

GCD of 725, 649, 34, 284 is 1

2. Where do I get the detailed procedure to find GCD of 725, 649, 34, 284?

You can find a detailed procedure to find GCD of 725, 649, 34, 284 on our page.

3. How to find GCD of 725, 649, 34, 284 on a calculator?

You can find the GCD of 725, 649, 34, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.