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 686, 912, 420, 300 i.e. 2 largest integer that divides all the numbers equally.
GCD of 686, 912, 420, 300 is 2
GCD(686, 912, 420, 300) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 912, 420, 300 is 2
GCD(686, 912, 420, 300) = 2
Given Input numbers are 686, 912, 420, 300
To find the GCD of numbers using factoring list out all the divisors of each number
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 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 686, 912, 420, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 912, 420, 300 is 2.
Therefore, GCD of numbers 686, 912, 420, 300 is 2
Given Input Data is 686, 912, 420, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
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(686, 912) = 312816
GCD(686, 912) = ( 686 x 912 ) / 312816
GCD(686, 912) = 625632 / 312816
GCD(686, 912) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
GCD(2, 420) = 840 / 420
GCD(2, 420) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
GCD(2, 300) = 600 / 300
GCD(2, 300) = 2
GCD of 686, 912, 420, 300 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 686, 912, 420, 300?
GCD of 686, 912, 420, 300 is 2
2. Where do I get the detailed procedure to find GCD of 686, 912, 420, 300?
You can find a detailed procedure to find GCD of 686, 912, 420, 300 on our page.
3. How to find GCD of 686, 912, 420, 300 on a calculator?
You can find the GCD of 686, 912, 420, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.