GCD of 488, 588, 992 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 488, 588, 992 quickly. Get the easiest ways to solve the greatest common divisor of 488, 588, 992 i.e 4 in different methods as follows.
Given Input numbers are 488, 588, 992
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
GCD of numbers is the greatest common divisor
So, the GCD (488, 588, 992) = 4.
Given numbers are 488, 588, 992
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The highest common occurrence is 22
Therefore, GCD of 488, 588, 992 is 4.
Steps to Calculate GCD of 488, 588, 992 using LCM Formula
Given numbers are 488, 588, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 588) = 71736
GCD(488, 588) = ( 488 x 588 ) / 71736
= 488 / 588
= 488
Step2:
LCM(4, 992) = 992
GCD(4, 992) = ( 4 x 992 ) / 992
= 4 / 992
= 4
So, Greatest Common Divisor of 488, 588, 992 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 488, 588, 992
Given numbers are 488, 588, 992
The greatest common divisor of numbers 488, 588, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 588, 992 is 4.
FAQs on GCD of 488, 588, 992 Calculator
1. What is the GCD of 488, 588, 992?
GCD of given numbers 488, 588, 992 is 4
2. How to calculate the greatest common divisor of 488, 588, 992?
We can find the highest common divisor of 488, 588, 992 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 488, 588, 992 i.e 4.
3. How can I use the GCD of 488, 588, 992Calculator?
Out the numbers 488, 588, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.