GCD of 740, 349, 514, 825 Calculator

Given Input numbers are 740, 349, 514, 825

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

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 740, 349, 514, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 349, 514, 825 is 1.

Therefore, GCD of numbers 740, 349, 514, 825 is 1

Given Input Data is 740, 349, 514, 825

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

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

Prime Factorization of 349 is 349

Prime Factorization of 514 is 2 x 257

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(740, 349) = 258260

GCD(740, 349) = ( 740 x 349 ) / 258260

GCD(740, 349) = 258260 / 258260

GCD(740, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 740, 349, 514, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 308, 240, 122
• GCD of 951, 917, 832, 493
• GCD of 148, 409, 276, 510
• GCD of 151, 523, 763, 551
• GCD of 103, 662, 925, 217

1. What is the GCD of 740, 349, 514, 825?

GCD of 740, 349, 514, 825 is 1

2. Where do I get the detailed procedure to find GCD of 740, 349, 514, 825?

You can find a detailed procedure to find GCD of 740, 349, 514, 825 on our page.

3. How to find GCD of 740, 349, 514, 825 on a calculator?

You can find the GCD of 740, 349, 514, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.