GCD of 802, 153, 847, 784 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 802, 153, 847, 784 i.e. 1 largest integer that divides all the numbers equally.

GCD of 802, 153, 847, 784 is 1

GCD(802, 153, 847, 784) = 1

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

GCD of

GCD of numbers 802, 153, 847, 784 is 1

GCD(802, 153, 847, 784) = 1

GCD of 802,153,847,784 Calculator

GCDof 802,153,847,784 is 1

Given Input numbers are 802, 153, 847, 784

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 802, 153, 847, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 153, 847, 784 is 1.

Therefore, GCD of numbers 802, 153, 847, 784 is 1

Finding GCD of 802, 153, 847, 784 using Prime Factorization

Given Input Data is 802, 153, 847, 784

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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

Finding GCD of 802, 153, 847, 784 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(802, 153) = 122706

GCD(802, 153) = ( 802 x 153 ) / 122706

GCD(802, 153) = 122706 / 122706

GCD(802, 153) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 847

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

LCM(1, 847) = 847

GCD(1, 847) = ( 1 x 847 ) / 847

GCD(1, 847) = 847 / 847

GCD(1, 847) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 802, 153, 847, 784 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 802, 153, 847, 784

1. What is the GCD of 802, 153, 847, 784?

GCD of 802, 153, 847, 784 is 1


2. Where do I get the detailed procedure to find GCD of 802, 153, 847, 784?

You can find a detailed procedure to find GCD of 802, 153, 847, 784 on our page.


3. How to find GCD of 802, 153, 847, 784 on a calculator?

You can find the GCD of 802, 153, 847, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.