GCD of 850, 780, 84, 505 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 850, 780, 84, 505 i.e. 1 largest integer that divides all the numbers equally.

GCD of 850, 780, 84, 505 is 1

GCD(850, 780, 84, 505) = 1

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

GCD of

GCD of numbers 850, 780, 84, 505 is 1

GCD(850, 780, 84, 505) = 1

GCD of 850,780,84,505 Calculator

GCDof 850,780,84,505 is 1

Given Input numbers are 850, 780, 84, 505

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 850, 780, 84, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 780, 84, 505 is 1.

Therefore, GCD of numbers 850, 780, 84, 505 is 1

Finding GCD of 850, 780, 84, 505 using Prime Factorization

Given Input Data is 850, 780, 84, 505

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 505 is 5 x 101

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

Finding GCD of 850, 780, 84, 505 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(850, 780) = 66300

GCD(850, 780) = ( 850 x 780 ) / 66300

GCD(850, 780) = 663000 / 66300

GCD(850, 780) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 84

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

LCM(10, 84) = 420

GCD(10, 84) = ( 10 x 84 ) / 420

GCD(10, 84) = 840 / 420

GCD(10, 84) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

GCD of 850, 780, 84, 505 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 850, 780, 84, 505

1. What is the GCD of 850, 780, 84, 505?

GCD of 850, 780, 84, 505 is 1


2. Where do I get the detailed procedure to find GCD of 850, 780, 84, 505?

You can find a detailed procedure to find GCD of 850, 780, 84, 505 on our page.


3. How to find GCD of 850, 780, 84, 505 on a calculator?

You can find the GCD of 850, 780, 84, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.