GCD of 308, 742, 384 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 308, 742, 384 quickly. Get the easiest ways to solve the greatest common divisor of 308, 742, 384 i.e 2 in different methods as follows.
Given Input numbers are 308, 742, 384
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (308, 742, 384) = 2.
Given numbers are 308, 742, 384
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 742 are 2 x 7 x 53
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 308, 742, 384 is 2.
Steps to Calculate GCD of 308, 742, 384 using LCM Formula
Given numbers are 308, 742, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 742) = 16324
GCD(308, 742) = ( 308 x 742 ) / 16324
= 308 / 742
= 308
Step2:
LCM(14, 384) = 2688
GCD(14, 384) = ( 14 x 384 ) / 2688
= 14 / 384
= 14
So, Greatest Common Divisor of 308, 742, 384 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 308, 742, 384
Given numbers are 308, 742, 384
The greatest common divisor of numbers 308, 742, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 742, 384 is 2.
FAQs on GCD of 308, 742, 384 Calculator
1. What is the GCD of 308, 742, 384?
GCD of given numbers 308, 742, 384 is 2
2. How to calculate the greatest common divisor of 308, 742, 384?
We can find the highest common divisor of 308, 742, 384 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 308, 742, 384 i.e 2.
3. How can I use the GCD of 308, 742, 384Calculator?
Out the numbers 308, 742, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.