GCD of 714, 325, 864, 154 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, 325, 864, 154 i.e. 1 largest integer that divides all the numbers equally.

GCD of 714, 325, 864, 154 is 1

GCD(714, 325, 864, 154) = 1

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

GCD of

GCD of numbers 714, 325, 864, 154 is 1

GCD(714, 325, 864, 154) = 1

GCD of 714,325,864,154 Calculator

GCDof 714,325,864,154 is 1

Given Input numbers are 714, 325, 864, 154

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 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 714, 325, 864, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 325, 864, 154 is 1.

Therefore, GCD of numbers 714, 325, 864, 154 is 1

Finding GCD of 714, 325, 864, 154 using Prime Factorization

Given Input Data is 714, 325, 864, 154

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 325 is 5 x 5 x 13

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 154 is 2 x 7 x 11

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

Finding GCD of 714, 325, 864, 154 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, 325) = 232050

GCD(714, 325) = ( 714 x 325 ) / 232050

GCD(714, 325) = 232050 / 232050

GCD(714, 325) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 714, 325, 864, 154 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 714, 325, 864, 154

1. What is the GCD of 714, 325, 864, 154?

GCD of 714, 325, 864, 154 is 1


2. Where do I get the detailed procedure to find GCD of 714, 325, 864, 154?

You can find a detailed procedure to find GCD of 714, 325, 864, 154 on our page.


3. How to find GCD of 714, 325, 864, 154 on a calculator?

You can find the GCD of 714, 325, 864, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.