GCD of 684, 274, 562, 749 Calculator

Given Input numbers are 684, 274, 562, 749

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 749

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

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 684, 274, 562, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 274, 562, 749 is 1.

Therefore, GCD of numbers 684, 274, 562, 749 is 1

Given Input Data is 684, 274, 562, 749

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 274 is 2 x 137

Prime Factorization of 562 is 2 x 281

Prime Factorization of 749 is 7 x 107

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(684, 274) = 93708

GCD(684, 274) = ( 684 x 274 ) / 93708

GCD(684, 274) = 187416 / 93708

GCD(684, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 684, 274, 562, 749 is 1

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1. What is the GCD of 684, 274, 562, 749?

GCD of 684, 274, 562, 749 is 1

2. Where do I get the detailed procedure to find GCD of 684, 274, 562, 749?

You can find a detailed procedure to find GCD of 684, 274, 562, 749 on our page.

3. How to find GCD of 684, 274, 562, 749 on a calculator?

You can find the GCD of 684, 274, 562, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.