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 numbers 840, 630, 55, 117 is 1
GCD(840, 630, 55, 117) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.