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 680, 630, 43, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 630, 43, 984 is 1
GCD(680, 630, 43, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 630, 43, 984 is 1
GCD(680, 630, 43, 984) = 1
Given Input numbers are 680, 630, 43, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
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 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 680, 630, 43, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 630, 43, 984 is 1.
Therefore, GCD of numbers 680, 630, 43, 984 is 1
Given Input Data is 680, 630, 43, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 43 is 43
Prime Factorization of 984 is 2 x 2 x 2 x 3 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(680, 630) = 42840
GCD(680, 630) = ( 680 x 630 ) / 42840
GCD(680, 630) = 428400 / 42840
GCD(680, 630) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 43) = 430
GCD(10, 43) = ( 10 x 43 ) / 430
GCD(10, 43) = 430 / 430
GCD(10, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 680, 630, 43, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 630, 43, 984?
GCD of 680, 630, 43, 984 is 1
2. Where do I get the detailed procedure to find GCD of 680, 630, 43, 984?
You can find a detailed procedure to find GCD of 680, 630, 43, 984 on our page.
3. How to find GCD of 680, 630, 43, 984 on a calculator?
You can find the GCD of 680, 630, 43, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.