GCD of 288, 978, 742 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 288, 978, 742 quickly. Get the easiest ways to solve the greatest common divisor of 288, 978, 742 i.e 2 in different methods as follows.
Given Input numbers are 288, 978, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (288, 978, 742) = 2.
Given numbers are 288, 978, 742
The list of prime factors of all numbers are
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 978 are 2 x 3 x 163
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 288, 978, 742 is 2.
Steps to Calculate GCD of 288, 978, 742 using LCM Formula
Given numbers are 288, 978, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(288, 978) = 46944
GCD(288, 978) = ( 288 x 978 ) / 46944
= 288 / 978
= 288
Step2:
LCM(6, 742) = 2226
GCD(6, 742) = ( 6 x 742 ) / 2226
= 6 / 742
= 6
So, Greatest Common Divisor of 288, 978, 742 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 288, 978, 742
Given numbers are 288, 978, 742
The greatest common divisor of numbers 288, 978, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 978, 742 is 2.
FAQs on GCD of 288, 978, 742 Calculator
1. What is the GCD of 288, 978, 742?
GCD of given numbers 288, 978, 742 is 2
2. How to calculate the greatest common divisor of 288, 978, 742?
We can find the highest common divisor of 288, 978, 742 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 288, 978, 742 i.e 2.
3. How can I use the GCD of 288, 978, 742Calculator?
Out the numbers 288, 978, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.