GCD of 710, 684, 329, 253 Calculator

Given Input numbers are 710, 684, 329, 253

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

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 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 710, 684, 329, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 684, 329, 253 is 1.

Therefore, GCD of numbers 710, 684, 329, 253 is 1

Given Input Data is 710, 684, 329, 253

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

Prime Factorization of 710 is 2 x 5 x 71

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

Prime Factorization of 329 is 7 x 47

Prime Factorization of 253 is 11 x 23

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(710, 684) = 242820

GCD(710, 684) = ( 710 x 684 ) / 242820

GCD(710, 684) = 485640 / 242820

GCD(710, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 329

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

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

GCD(2, 329) = 658 / 658

GCD(2, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 710, 684, 329, 253 is 1

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1. What is the GCD of 710, 684, 329, 253?

GCD of 710, 684, 329, 253 is 1

2. Where do I get the detailed procedure to find GCD of 710, 684, 329, 253?

You can find a detailed procedure to find GCD of 710, 684, 329, 253 on our page.

3. How to find GCD of 710, 684, 329, 253 on a calculator?

You can find the GCD of 710, 684, 329, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.