GCD of 392, 588, 476 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 392, 588, 476 quickly. Get the easiest ways to solve the greatest common divisor of 392, 588, 476 i.e 28 in different methods as follows.
Given Input numbers are 392, 588, 476
In the factoring method, we have to find the divisors of all numbers
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
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 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
GCD of numbers is the greatest common divisor
So, the GCD (392, 588, 476) = 28.
Given numbers are 392, 588, 476
The list of prime factors of all numbers are
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 476 are 2 x 2 x 7 x 17
The highest common occurrence is 22 x 71
Therefore, GCD of 392, 588, 476 is 28.
Steps to Calculate GCD of 392, 588, 476 using LCM Formula
Given numbers are 392, 588, 476
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(392, 588) = 1176
GCD(392, 588) = ( 392 x 588 ) / 1176
= 392 / 588
= 392
Step2:
LCM(196, 476) = 3332
GCD(196, 476) = ( 196 x 476 ) / 3332
= 196 / 476
= 196
So, Greatest Common Divisor of 392, 588, 476 is 28
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 392, 588, 476
Given numbers are 392, 588, 476
The greatest common divisor of numbers 392, 588, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 588, 476 is 28.
FAQs on GCD of 392, 588, 476 Calculator
1. What is the GCD of 392, 588, 476?
GCD of given numbers 392, 588, 476 is 28
2. How to calculate the greatest common divisor of 392, 588, 476?
We can find the highest common divisor of 392, 588, 476 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 392, 588, 476 i.e 28.
3. How can I use the GCD of 392, 588, 476Calculator?
Out the numbers 392, 588, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.