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, 510, 631, 943 i.e. 1 largest integer that divides all the numbers equally.
GCD of 840, 510, 631, 943 is 1
GCD(840, 510, 631, 943) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 510, 631, 943 is 1
GCD(840, 510, 631, 943) = 1
Given Input numbers are 840, 510, 631, 943
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 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Greatest Common Divisior
We found the divisors of 840, 510, 631, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 510, 631, 943 is 1.
Therefore, GCD of numbers 840, 510, 631, 943 is 1
Given Input Data is 840, 510, 631, 943
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 510 is 2 x 3 x 5 x 17
Prime Factorization of 631 is 631
Prime Factorization of 943 is 23 x 41
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, 510) = 14280
GCD(840, 510) = ( 840 x 510 ) / 14280
GCD(840, 510) = 428400 / 14280
GCD(840, 510) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 631) = 18930
GCD(30, 631) = ( 30 x 631 ) / 18930
GCD(30, 631) = 18930 / 18930
GCD(30, 631) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 943
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 943) = 943
GCD(1, 943) = ( 1 x 943 ) / 943
GCD(1, 943) = 943 / 943
GCD(1, 943) = 1
GCD of 840, 510, 631, 943 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 840, 510, 631, 943?
GCD of 840, 510, 631, 943 is 1
2. Where do I get the detailed procedure to find GCD of 840, 510, 631, 943?
You can find a detailed procedure to find GCD of 840, 510, 631, 943 on our page.
3. How to find GCD of 840, 510, 631, 943 on a calculator?
You can find the GCD of 840, 510, 631, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.