GCD of 684, 393, 740, 560 Calculator

Given Input numbers are 684, 393, 740, 560

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 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 684, 393, 740, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 393, 740, 560 is 1.

Therefore, GCD of numbers 684, 393, 740, 560 is 1

Given Input Data is 684, 393, 740, 560

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 393 is 3 x 131

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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, 393) = 89604

GCD(684, 393) = ( 684 x 393 ) / 89604

GCD(684, 393) = 268812 / 89604

GCD(684, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 740

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

LCM(3, 740) = 2220

GCD(3, 740) = ( 3 x 740 ) / 2220

GCD(3, 740) = 2220 / 2220

GCD(3, 740) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 684, 393, 740, 560 is 1

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1. What is the GCD of 684, 393, 740, 560?

GCD of 684, 393, 740, 560 is 1

2. Where do I get the detailed procedure to find GCD of 684, 393, 740, 560?

You can find a detailed procedure to find GCD of 684, 393, 740, 560 on our page.

3. How to find GCD of 684, 393, 740, 560 on a calculator?

You can find the GCD of 684, 393, 740, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.