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, 338, 826, 138 i.e. 2 largest integer that divides all the numbers equally.
GCD of 352, 338, 826, 138 is 2
GCD(352, 338, 826, 138) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 338, 826, 138 is 2
GCD(352, 338, 826, 138) = 2
Given Input numbers are 352, 338, 826, 138
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 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 352, 338, 826, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 338, 826, 138 is 2.
Therefore, GCD of numbers 352, 338, 826, 138 is 2
Given Input Data is 352, 338, 826, 138
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 338 is 2 x 13 x 13
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 138 is 2 x 3 x 23
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, 338) = 59488
GCD(352, 338) = ( 352 x 338 ) / 59488
GCD(352, 338) = 118976 / 59488
GCD(352, 338) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 826) = 826
GCD(2, 826) = ( 2 x 826 ) / 826
GCD(2, 826) = 1652 / 826
GCD(2, 826) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
GCD(2, 138) = 276 / 138
GCD(2, 138) = 2
GCD of 352, 338, 826, 138 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 338, 826, 138?
GCD of 352, 338, 826, 138 is 2
2. Where do I get the detailed procedure to find GCD of 352, 338, 826, 138?
You can find a detailed procedure to find GCD of 352, 338, 826, 138 on our page.
3. How to find GCD of 352, 338, 826, 138 on a calculator?
You can find the GCD of 352, 338, 826, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.