GCD of 684, 564, 68, 711 Calculator

Given Input numbers are 684, 564, 68, 711

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 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 684, 564, 68, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 564, 68, 711 is 1.

Therefore, GCD of numbers 684, 564, 68, 711 is 1

Given Input Data is 684, 564, 68, 711

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 564 is 2 x 2 x 3 x 47

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 711 is 3 x 3 x 79

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, 564) = 32148

GCD(684, 564) = ( 684 x 564 ) / 32148

GCD(684, 564) = 385776 / 32148

GCD(684, 564) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 68

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

LCM(12, 68) = 204

GCD(12, 68) = ( 12 x 68 ) / 204

GCD(12, 68) = 816 / 204

GCD(12, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 711

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

LCM(4, 711) = 2844

GCD(4, 711) = ( 4 x 711 ) / 2844

GCD(4, 711) = 2844 / 2844

GCD(4, 711) = 1

GCD of 684, 564, 68, 711 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 870, 94, 818
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• GCD of 192, 920, 20, 257

1. What is the GCD of 684, 564, 68, 711?

GCD of 684, 564, 68, 711 is 1

2. Where do I get the detailed procedure to find GCD of 684, 564, 68, 711?

You can find a detailed procedure to find GCD of 684, 564, 68, 711 on our page.

3. How to find GCD of 684, 564, 68, 711 on a calculator?

You can find the GCD of 684, 564, 68, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.