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 679, 718, 721, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 679, 718, 721, 840 is 1
GCD(679, 718, 721, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 679, 718, 721, 840 is 1
GCD(679, 718, 721, 840) = 1
Given Input numbers are 679, 718, 721, 840
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
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
Greatest Common Divisior
We found the divisors of 679, 718, 721, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 718, 721, 840 is 1.
Therefore, GCD of numbers 679, 718, 721, 840 is 1
Given Input Data is 679, 718, 721, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 679 is 7 x 97
Prime Factorization of 718 is 2 x 359
Prime Factorization of 721 is 7 x 103
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
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(679, 718) = 487522
GCD(679, 718) = ( 679 x 718 ) / 487522
GCD(679, 718) = 487522 / 487522
GCD(679, 718) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 679, 718, 721, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 679, 718, 721, 840?
GCD of 679, 718, 721, 840 is 1
2. Where do I get the detailed procedure to find GCD of 679, 718, 721, 840?
You can find a detailed procedure to find GCD of 679, 718, 721, 840 on our page.
3. How to find GCD of 679, 718, 721, 840 on a calculator?
You can find the GCD of 679, 718, 721, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.