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 662, 666, 24, 320 i.e. 2 largest integer that divides all the numbers equally.
GCD of 662, 666, 24, 320 is 2
GCD(662, 666, 24, 320) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 662, 666, 24, 320 is 2
GCD(662, 666, 24, 320) = 2
Given Input numbers are 662, 666, 24, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 662, 666, 24, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 666, 24, 320 is 2.
Therefore, GCD of numbers 662, 666, 24, 320 is 2
Given Input Data is 662, 666, 24, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 662 is 2 x 331
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 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(662, 666) = 220446
GCD(662, 666) = ( 662 x 666 ) / 220446
GCD(662, 666) = 440892 / 220446
GCD(662, 666) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 24) = 24
GCD(2, 24) = ( 2 x 24 ) / 24
GCD(2, 24) = 48 / 24
GCD(2, 24) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
GCD(2, 320) = 640 / 320
GCD(2, 320) = 2
GCD of 662, 666, 24, 320 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 662, 666, 24, 320?
GCD of 662, 666, 24, 320 is 2
2. Where do I get the detailed procedure to find GCD of 662, 666, 24, 320?
You can find a detailed procedure to find GCD of 662, 666, 24, 320 on our page.
3. How to find GCD of 662, 666, 24, 320 on a calculator?
You can find the GCD of 662, 666, 24, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.