GCD of 510, 588, 117 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 510, 588, 117 quickly. Get the easiest ways to solve the greatest common divisor of 510, 588, 117 i.e 3 in different methods as follows.
Given Input numbers are 510, 588, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
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 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (510, 588, 117) = 3.
Given numbers are 510, 588, 117
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 117 are 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 510, 588, 117 is 3.
Steps to Calculate GCD of 510, 588, 117 using LCM Formula
Given numbers are 510, 588, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 588) = 49980
GCD(510, 588) = ( 510 x 588 ) / 49980
= 510 / 588
= 510
Step2:
LCM(6, 117) = 234
GCD(6, 117) = ( 6 x 117 ) / 234
= 6 / 117
= 6
So, Greatest Common Divisor of 510, 588, 117 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 510, 588, 117
Given numbers are 510, 588, 117
The greatest common divisor of numbers 510, 588, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 588, 117 is 3.
FAQs on GCD of 510, 588, 117 Calculator
1. What is the GCD of 510, 588, 117?
GCD of given numbers 510, 588, 117 is 3
2. How to calculate the greatest common divisor of 510, 588, 117?
We can find the highest common divisor of 510, 588, 117 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 510, 588, 117 i.e 3.
3. How can I use the GCD of 510, 588, 117Calculator?
Out the numbers 510, 588, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.