GCD of 588, 392, 140 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 588, 392, 140 quickly. Get the easiest ways to solve the greatest common divisor of 588, 392, 140 i.e 28 in different methods as follows.
Given Input numbers are 588, 392, 140
In the factoring method, we have to find the divisors of all numbers
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 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 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (588, 392, 140) = 28.
Given numbers are 588, 392, 140
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 22 x 71
Therefore, GCD of 588, 392, 140 is 28.
Steps to Calculate GCD of 588, 392, 140 using LCM Formula
Given numbers are 588, 392, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 392) = 1176
GCD(588, 392) = ( 588 x 392 ) / 1176
= 588 / 392
= 588
Step2:
LCM(196, 140) = 980
GCD(196, 140) = ( 196 x 140 ) / 980
= 196 / 140
= 196
So, Greatest Common Divisor of 588, 392, 140 is 28
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 588, 392, 140
Given numbers are 588, 392, 140
The greatest common divisor of numbers 588, 392, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 392, 140 is 28.
FAQs on GCD of 588, 392, 140 Calculator
1. What is the GCD of 588, 392, 140?
GCD of given numbers 588, 392, 140 is 28
2. How to calculate the greatest common divisor of 588, 392, 140?
We can find the highest common divisor of 588, 392, 140 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 588, 392, 140 i.e 28.
3. How can I use the GCD of 588, 392, 140Calculator?
Out the numbers 588, 392, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.