GCD of 728, 294, 142 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 728, 294, 142 quickly. Get the easiest ways to solve the greatest common divisor of 728, 294, 142 i.e 2 in different methods as follows.
Given Input numbers are 728, 294, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (728, 294, 142) = 2.
Given numbers are 728, 294, 142
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 728, 294, 142 is 2.
Steps to Calculate GCD of 728, 294, 142 using LCM Formula
Given numbers are 728, 294, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 294) = 15288
GCD(728, 294) = ( 728 x 294 ) / 15288
= 728 / 294
= 728
Step2:
LCM(14, 142) = 994
GCD(14, 142) = ( 14 x 142 ) / 994
= 14 / 142
= 14
So, Greatest Common Divisor of 728, 294, 142 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 728, 294, 142
Given numbers are 728, 294, 142
The greatest common divisor of numbers 728, 294, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 294, 142 is 2.
FAQs on GCD of 728, 294, 142 Calculator
1. What is the GCD of 728, 294, 142?
GCD of given numbers 728, 294, 142 is 2
2. How to calculate the greatest common divisor of 728, 294, 142?
We can find the highest common divisor of 728, 294, 142 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 728, 294, 142 i.e 2.
3. How can I use the GCD of 728, 294, 142Calculator?
Out the numbers 728, 294, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.