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 722, 698, 686, 870 i.e. 2 largest integer that divides all the numbers equally.
GCD of 722, 698, 686, 870 is 2
GCD(722, 698, 686, 870) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 722, 698, 686, 870 is 2
GCD(722, 698, 686, 870) = 2
Given Input numbers are 722, 698, 686, 870
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Greatest Common Divisior
We found the divisors of 722, 698, 686, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 698, 686, 870 is 2.
Therefore, GCD of numbers 722, 698, 686, 870 is 2
Given Input Data is 722, 698, 686, 870
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 698 is 2 x 349
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 870 is 2 x 3 x 5 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(722, 698) = 251978
GCD(722, 698) = ( 722 x 698 ) / 251978
GCD(722, 698) = 503956 / 251978
GCD(722, 698) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
GCD(2, 686) = 1372 / 686
GCD(2, 686) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 870) = 870
GCD(2, 870) = ( 2 x 870 ) / 870
GCD(2, 870) = 1740 / 870
GCD(2, 870) = 2
GCD of 722, 698, 686, 870 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 722, 698, 686, 870?
GCD of 722, 698, 686, 870 is 2
2. Where do I get the detailed procedure to find GCD of 722, 698, 686, 870?
You can find a detailed procedure to find GCD of 722, 698, 686, 870 on our page.
3. How to find GCD of 722, 698, 686, 870 on a calculator?
You can find the GCD of 722, 698, 686, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.