GCD of 714, 241, 564, 320 Calculator

Given Input numbers are 714, 241, 564, 320

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 714, 241, 564, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 241, 564, 320 is 1.

Therefore, GCD of numbers 714, 241, 564, 320 is 1

Given Input Data is 714, 241, 564, 320

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 241 is 241

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(714, 241) = 172074

GCD(714, 241) = ( 714 x 241 ) / 172074

GCD(714, 241) = 172074 / 172074

GCD(714, 241) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 714, 241, 564, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 533, 126, 451
• GCD of 718, 484, 500, 574
• GCD of 727, 101, 924, 802
• GCD of 896, 739, 838, 360
• GCD of 318, 850, 601, 907

1. What is the GCD of 714, 241, 564, 320?

GCD of 714, 241, 564, 320 is 1

2. Where do I get the detailed procedure to find GCD of 714, 241, 564, 320?

You can find a detailed procedure to find GCD of 714, 241, 564, 320 on our page.

3. How to find GCD of 714, 241, 564, 320 on a calculator?

You can find the GCD of 714, 241, 564, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.