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 352, 378, 904, 266 i.e. 2 largest integer that divides all the numbers equally.
GCD of 352, 378, 904, 266 is 2
GCD(352, 378, 904, 266) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 378, 904, 266 is 2
GCD(352, 378, 904, 266) = 2
Given Input numbers are 352, 378, 904, 266
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
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 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Greatest Common Divisior
We found the divisors of 352, 378, 904, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 378, 904, 266 is 2.
Therefore, GCD of numbers 352, 378, 904, 266 is 2
Given Input Data is 352, 378, 904, 266
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 266 is 2 x 7 x 19
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(352, 378) = 66528
GCD(352, 378) = ( 352 x 378 ) / 66528
GCD(352, 378) = 133056 / 66528
GCD(352, 378) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
GCD(2, 904) = 1808 / 904
GCD(2, 904) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 266) = 266
GCD(2, 266) = ( 2 x 266 ) / 266
GCD(2, 266) = 532 / 266
GCD(2, 266) = 2
GCD of 352, 378, 904, 266 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 378, 904, 266?
GCD of 352, 378, 904, 266 is 2
2. Where do I get the detailed procedure to find GCD of 352, 378, 904, 266?
You can find a detailed procedure to find GCD of 352, 378, 904, 266 on our page.
3. How to find GCD of 352, 378, 904, 266 on a calculator?
You can find the GCD of 352, 378, 904, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.