GCD of 680, 749, 352, 249 Calculator

Given Input numbers are 680, 749, 352, 249

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 249

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

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 680, 749, 352, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 749, 352, 249 is 1.

Therefore, GCD of numbers 680, 749, 352, 249 is 1

Given Input Data is 680, 749, 352, 249

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 749 is 7 x 107

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 249 is 3 x 83

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(680, 749) = 509320

GCD(680, 749) = ( 680 x 749 ) / 509320

GCD(680, 749) = 509320 / 509320

GCD(680, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 680, 749, 352, 249 is 1

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1. What is the GCD of 680, 749, 352, 249?

GCD of 680, 749, 352, 249 is 1

2. Where do I get the detailed procedure to find GCD of 680, 749, 352, 249?

You can find a detailed procedure to find GCD of 680, 749, 352, 249 on our page.

3. How to find GCD of 680, 749, 352, 249 on a calculator?

You can find the GCD of 680, 749, 352, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.