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, 874, 16, 222 i.e. 2 largest integer that divides all the numbers equally.
GCD of 680, 874, 16, 222 is 2
GCD(680, 874, 16, 222) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 874, 16, 222 is 2
GCD(680, 874, 16, 222) = 2
Given Input numbers are 680, 874, 16, 222
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 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Greatest Common Divisior
We found the divisors of 680, 874, 16, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 874, 16, 222 is 2.
Therefore, GCD of numbers 680, 874, 16, 222 is 2
Given Input Data is 680, 874, 16, 222
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 874 is 2 x 19 x 23
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 222 is 2 x 3 x 37
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, 874) = 297160
GCD(680, 874) = ( 680 x 874 ) / 297160
GCD(680, 874) = 594320 / 297160
GCD(680, 874) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 222) = 222
GCD(2, 222) = ( 2 x 222 ) / 222
GCD(2, 222) = 444 / 222
GCD(2, 222) = 2
GCD of 680, 874, 16, 222 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 874, 16, 222?
GCD of 680, 874, 16, 222 is 2
2. Where do I get the detailed procedure to find GCD of 680, 874, 16, 222?
You can find a detailed procedure to find GCD of 680, 874, 16, 222 on our page.
3. How to find GCD of 680, 874, 16, 222 on a calculator?
You can find the GCD of 680, 874, 16, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.