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 616, 376, 612 i.e. 4 largest integer that divides all the numbers equally.
GCD of 616, 376, 612 is 4
GCD(616, 376, 612) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 376, 612 is 4
GCD(616, 376, 612) = 4
Given Input numbers are 616, 376, 612
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
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 616, 376, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 376, 612 is 4.
Therefore, GCD of numbers 616, 376, 612 is 4
Given Input Data is 616, 376, 612
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(616, 376) = 28952
GCD(616, 376) = ( 616 x 376 ) / 28952
GCD(616, 376) = 231616 / 28952
GCD(616, 376) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 612) = 1224
GCD(8, 612) = ( 8 x 612 ) / 1224
GCD(8, 612) = 4896 / 1224
GCD(8, 612) = 4
GCD of 616, 376, 612 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 376, 612?
GCD of 616, 376, 612 is 4
2. Where do I get the detailed procedure to find GCD of 616, 376, 612?
You can find a detailed procedure to find GCD of 616, 376, 612 on our page.
3. How to find GCD of 616, 376, 612 on a calculator?
You can find the GCD of 616, 376, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.