GCD of 760, 249, 353, 716 Calculator

Given Input numbers are 760, 249, 353, 716

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 760, 249, 353, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 249, 353, 716 is 1.

Therefore, GCD of numbers 760, 249, 353, 716 is 1

Given Input Data is 760, 249, 353, 716

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 249 is 3 x 83

Prime Factorization of 353 is 353

Prime Factorization of 716 is 2 x 2 x 179

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(760, 249) = 189240

GCD(760, 249) = ( 760 x 249 ) / 189240

GCD(760, 249) = 189240 / 189240

GCD(760, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 760, 249, 353, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 293, 877, 737
• GCD of 322, 392, 645, 134
• GCD of 390, 605, 939, 418
• GCD of 219, 285, 170, 998
• GCD of 359, 307, 769, 315

1. What is the GCD of 760, 249, 353, 716?

GCD of 760, 249, 353, 716 is 1

2. Where do I get the detailed procedure to find GCD of 760, 249, 353, 716?

You can find a detailed procedure to find GCD of 760, 249, 353, 716 on our page.

3. How to find GCD of 760, 249, 353, 716 on a calculator?

You can find the GCD of 760, 249, 353, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.