GCD of 840, 630, 55, 117 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 840, 630, 55, 117 i.e. 1 largest integer that divides all the numbers equally.

GCD of 840, 630, 55, 117 is 1

GCD(840, 630, 55, 117) = 1

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

GCD of

GCD of numbers 840, 630, 55, 117 is 1

GCD(840, 630, 55, 117) = 1

GCD of 840,630,55,117 Calculator

GCDof 840,630,55,117 is 1

Given Input numbers are 840, 630, 55, 117

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 840, 630, 55, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 630, 55, 117 is 1.

Therefore, GCD of numbers 840, 630, 55, 117 is 1

Finding GCD of 840, 630, 55, 117 using Prime Factorization

Given Input Data is 840, 630, 55, 117

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 55 is 5 x 11

Prime Factorization of 117 is 3 x 3 x 13

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

Finding GCD of 840, 630, 55, 117 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(840, 630) = 2520

GCD(840, 630) = ( 840 x 630 ) / 2520

GCD(840, 630) = 529200 / 2520

GCD(840, 630) = 210


Step2:

Here we consider the GCD from the above i.e. 210 as first number and the next as 55

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

LCM(210, 55) = 2310

GCD(210, 55) = ( 210 x 55 ) / 2310

GCD(210, 55) = 11550 / 2310

GCD(210, 55) = 5


Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 117

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

LCM(5, 117) = 585

GCD(5, 117) = ( 5 x 117 ) / 585

GCD(5, 117) = 585 / 585

GCD(5, 117) = 1

GCD of 840, 630, 55, 117 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 840, 630, 55, 117

1. What is the GCD of 840, 630, 55, 117?

GCD of 840, 630, 55, 117 is 1


2. Where do I get the detailed procedure to find GCD of 840, 630, 55, 117?

You can find a detailed procedure to find GCD of 840, 630, 55, 117 on our page.


3. How to find GCD of 840, 630, 55, 117 on a calculator?

You can find the GCD of 840, 630, 55, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.