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 128, 348, 722 i.e. 2 largest integer that divides all the numbers equally.
GCD of 128, 348, 722 is 2
GCD(128, 348, 722) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 348, 722 is 2
GCD(128, 348, 722) = 2
Given Input numbers are 128, 348, 722
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Greatest Common Divisior
We found the divisors of 128, 348, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 348, 722 is 2.
Therefore, GCD of numbers 128, 348, 722 is 2
Given Input Data is 128, 348, 722
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 722 is 2 x 19 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(128, 348) = 11136
GCD(128, 348) = ( 128 x 348 ) / 11136
GCD(128, 348) = 44544 / 11136
GCD(128, 348) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 722
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 722) = 1444
GCD(4, 722) = ( 4 x 722 ) / 1444
GCD(4, 722) = 2888 / 1444
GCD(4, 722) = 2
GCD of 128, 348, 722 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 348, 722?
GCD of 128, 348, 722 is 2
2. Where do I get the detailed procedure to find GCD of 128, 348, 722?
You can find a detailed procedure to find GCD of 128, 348, 722 on our page.
3. How to find GCD of 128, 348, 722 on a calculator?
You can find the GCD of 128, 348, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.