GCD of 104, 870, 63, 814 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 104, 870, 63, 814 i.e. 1 largest integer that divides all the numbers equally.

GCD of 104, 870, 63, 814 is 1

GCD(104, 870, 63, 814) = 1

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

GCD of

GCD of numbers 104, 870, 63, 814 is 1

GCD(104, 870, 63, 814) = 1

GCD of 104,870,63,814 Calculator

GCDof 104,870,63,814 is 1

Given Input numbers are 104, 870, 63, 814

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 104, 870, 63, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 870, 63, 814 is 1.

Therefore, GCD of numbers 104, 870, 63, 814 is 1

Finding GCD of 104, 870, 63, 814 using Prime Factorization

Given Input Data is 104, 870, 63, 814

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 814 is 2 x 11 x 37

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

Finding GCD of 104, 870, 63, 814 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(104, 870) = 45240

GCD(104, 870) = ( 104 x 870 ) / 45240

GCD(104, 870) = 90480 / 45240

GCD(104, 870) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 63

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

LCM(2, 63) = 126

GCD(2, 63) = ( 2 x 63 ) / 126

GCD(2, 63) = 126 / 126

GCD(2, 63) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 104, 870, 63, 814 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 104, 870, 63, 814

1. What is the GCD of 104, 870, 63, 814?

GCD of 104, 870, 63, 814 is 1


2. Where do I get the detailed procedure to find GCD of 104, 870, 63, 814?

You can find a detailed procedure to find GCD of 104, 870, 63, 814 on our page.


3. How to find GCD of 104, 870, 63, 814 on a calculator?

You can find the GCD of 104, 870, 63, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.