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 110, 824, 76, 612 i.e. 2 largest integer that divides all the numbers equally.
GCD of 110, 824, 76, 612 is 2
GCD(110, 824, 76, 612) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 824, 76, 612 is 2
GCD(110, 824, 76, 612) = 2
Given Input numbers are 110, 824, 76, 612
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Greatest Common Divisior
We found the divisors of 110, 824, 76, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 824, 76, 612 is 2.
Therefore, GCD of numbers 110, 824, 76, 612 is 2
Given Input Data is 110, 824, 76, 612
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
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(110, 824) = 45320
GCD(110, 824) = ( 110 x 824 ) / 45320
GCD(110, 824) = 90640 / 45320
GCD(110, 824) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 76) = 76
GCD(2, 76) = ( 2 x 76 ) / 76
GCD(2, 76) = 152 / 76
GCD(2, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 612) = 612
GCD(2, 612) = ( 2 x 612 ) / 612
GCD(2, 612) = 1224 / 612
GCD(2, 612) = 2
GCD of 110, 824, 76, 612 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 824, 76, 612?
GCD of 110, 824, 76, 612 is 2
2. Where do I get the detailed procedure to find GCD of 110, 824, 76, 612?
You can find a detailed procedure to find GCD of 110, 824, 76, 612 on our page.
3. How to find GCD of 110, 824, 76, 612 on a calculator?
You can find the GCD of 110, 824, 76, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.