GCD of 714, 520, 504, 143 Calculator

Given Input numbers are 714, 520, 504, 143

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 714, 520, 504, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 520, 504, 143 is 1.

Therefore, GCD of numbers 714, 520, 504, 143 is 1

Given Input Data is 714, 520, 504, 143

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 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 143 is 11 x 13

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, 520) = 185640

GCD(714, 520) = ( 714 x 520 ) / 185640

GCD(714, 520) = 371280 / 185640

GCD(714, 520) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 143

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

LCM(2, 143) = 286

GCD(2, 143) = ( 2 x 143 ) / 286

GCD(2, 143) = 286 / 286

GCD(2, 143) = 1

GCD of 714, 520, 504, 143 is 1

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1. What is the GCD of 714, 520, 504, 143?

GCD of 714, 520, 504, 143 is 1

2. Where do I get the detailed procedure to find GCD of 714, 520, 504, 143?

You can find a detailed procedure to find GCD of 714, 520, 504, 143 on our page.

3. How to find GCD of 714, 520, 504, 143 on a calculator?

You can find the GCD of 714, 520, 504, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.