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 562, 378, 930, 908 i.e. 2 largest integer that divides all the numbers equally.
GCD of 562, 378, 930, 908 is 2
GCD(562, 378, 930, 908) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 562, 378, 930, 908 is 2
GCD(562, 378, 930, 908) = 2
Given Input numbers are 562, 378, 930, 908
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Greatest Common Divisior
We found the divisors of 562, 378, 930, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 378, 930, 908 is 2.
Therefore, GCD of numbers 562, 378, 930, 908 is 2
Given Input Data is 562, 378, 930, 908
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 562 is 2 x 281
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 908 is 2 x 2 x 227
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(562, 378) = 106218
GCD(562, 378) = ( 562 x 378 ) / 106218
GCD(562, 378) = 212436 / 106218
GCD(562, 378) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 930) = 930
GCD(2, 930) = ( 2 x 930 ) / 930
GCD(2, 930) = 1860 / 930
GCD(2, 930) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 908) = 908
GCD(2, 908) = ( 2 x 908 ) / 908
GCD(2, 908) = 1816 / 908
GCD(2, 908) = 2
GCD of 562, 378, 930, 908 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 562, 378, 930, 908?
GCD of 562, 378, 930, 908 is 2
2. Where do I get the detailed procedure to find GCD of 562, 378, 930, 908?
You can find a detailed procedure to find GCD of 562, 378, 930, 908 on our page.
3. How to find GCD of 562, 378, 930, 908 on a calculator?
You can find the GCD of 562, 378, 930, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.