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, 726, 360, 692 i.e. 2 largest integer that divides all the numbers equally.
GCD of 680, 726, 360, 692 is 2
GCD(680, 726, 360, 692) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 726, 360, 692 is 2
GCD(680, 726, 360, 692) = 2
Given Input numbers are 680, 726, 360, 692
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 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 680, 726, 360, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 726, 360, 692 is 2.
Therefore, GCD of numbers 680, 726, 360, 692 is 2
Given Input Data is 680, 726, 360, 692
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 726 is 2 x 3 x 11 x 11
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 692 is 2 x 2 x 173
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(680, 726) = 246840
GCD(680, 726) = ( 680 x 726 ) / 246840
GCD(680, 726) = 493680 / 246840
GCD(680, 726) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
GCD(2, 360) = 720 / 360
GCD(2, 360) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
GCD(2, 692) = 1384 / 692
GCD(2, 692) = 2
GCD of 680, 726, 360, 692 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 726, 360, 692?
GCD of 680, 726, 360, 692 is 2
2. Where do I get the detailed procedure to find GCD of 680, 726, 360, 692?
You can find a detailed procedure to find GCD of 680, 726, 360, 692 on our page.
3. How to find GCD of 680, 726, 360, 692 on a calculator?
You can find the GCD of 680, 726, 360, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.