GCD of 828, 650, 49, 373 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 828, 650, 49, 373 i.e. 1 largest integer that divides all the numbers equally.

GCD of 828, 650, 49, 373 is 1

GCD(828, 650, 49, 373) = 1

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

GCD of

GCD of numbers 828, 650, 49, 373 is 1

GCD(828, 650, 49, 373) = 1

GCD of 828,650,49,373 Calculator

GCDof 828,650,49,373 is 1

Given Input numbers are 828, 650, 49, 373

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Greatest Common Divisior

We found the divisors of 828, 650, 49, 373 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 650, 49, 373 is 1.

Therefore, GCD of numbers 828, 650, 49, 373 is 1

Finding GCD of 828, 650, 49, 373 using Prime Factorization

Given Input Data is 828, 650, 49, 373

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 49 is 7 x 7

Prime Factorization of 373 is 373

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

Finding GCD of 828, 650, 49, 373 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(828, 650) = 269100

GCD(828, 650) = ( 828 x 650 ) / 269100

GCD(828, 650) = 538200 / 269100

GCD(828, 650) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 373

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

LCM(1, 373) = 373

GCD(1, 373) = ( 1 x 373 ) / 373

GCD(1, 373) = 373 / 373

GCD(1, 373) = 1

GCD of 828, 650, 49, 373 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 828, 650, 49, 373

1. What is the GCD of 828, 650, 49, 373?

GCD of 828, 650, 49, 373 is 1


2. Where do I get the detailed procedure to find GCD of 828, 650, 49, 373?

You can find a detailed procedure to find GCD of 828, 650, 49, 373 on our page.


3. How to find GCD of 828, 650, 49, 373 on a calculator?

You can find the GCD of 828, 650, 49, 373 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.