GCD of 510, 744, 63 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 510, 744, 63 quickly. Get the easiest ways to solve the greatest common divisor of 510, 744, 63 i.e 3 in different methods as follows.
Given Input numbers are 510, 744, 63
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 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 63 :
The positive integer divisors of 63 that completely divides 63 are.
1, 3, 7, 9, 21, 63
GCD of numbers is the greatest common divisor
So, the GCD (510, 744, 63) = 3.
Given numbers are 510, 744, 63
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 63 are 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 510, 744, 63 is 3.
Steps to Calculate GCD of 510, 744, 63 using LCM Formula
Given numbers are 510, 744, 63
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 744) = 63240
GCD(510, 744) = ( 510 x 744 ) / 63240
= 510 / 744
= 510
Step2:
LCM(6, 63) = 126
GCD(6, 63) = ( 6 x 63 ) / 126
= 6 / 63
= 6
So, Greatest Common Divisor of 510, 744, 63 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 510, 744, 63
Given numbers are 510, 744, 63
The greatest common divisor of numbers 510, 744, 63 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 744, 63 is 3.
FAQs on GCD of 510, 744, 63 Calculator
1. What is the GCD of 510, 744, 63?
GCD of given numbers 510, 744, 63 is 3
2. How to calculate the greatest common divisor of 510, 744, 63?
We can find the highest common divisor of 510, 744, 63 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, 744, 63 i.e 3.
3. How can I use the GCD of 510, 744, 63Calculator?
Out the numbers 510, 744, 63 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.