GCD of 714, 635, 70, 684 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 714, 635, 70, 684 i.e. 1 largest integer that divides all the numbers equally.

GCD of 714, 635, 70, 684 is 1

GCD(714, 635, 70, 684) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 714, 635, 70, 684 is 1

GCD(714, 635, 70, 684) = 1

GCD of 714,635,70,684 Calculator

GCDof 714,635,70,684 is 1

Given Input numbers are 714, 635, 70, 684

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 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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

Greatest Common Divisior

We found the divisors of 714, 635, 70, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 635, 70, 684 is 1.

Therefore, GCD of numbers 714, 635, 70, 684 is 1

Finding GCD of 714, 635, 70, 684 using Prime Factorization

Given Input Data is 714, 635, 70, 684

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 635 is 5 x 127

Prime Factorization of 70 is 2 x 5 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 714, 635, 70, 684 using LCM Formula

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, 635) = 453390

GCD(714, 635) = ( 714 x 635 ) / 453390

GCD(714, 635) = 453390 / 453390

GCD(714, 635) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 714, 635, 70, 684 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 714, 635, 70, 684

1. What is the GCD of 714, 635, 70, 684?

GCD of 714, 635, 70, 684 is 1


2. Where do I get the detailed procedure to find GCD of 714, 635, 70, 684?

You can find a detailed procedure to find GCD of 714, 635, 70, 684 on our page.


3. How to find GCD of 714, 635, 70, 684 on a calculator?

You can find the GCD of 714, 635, 70, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.