GCD of 510, 513, 920 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 510, 513, 920 quickly. Get the easiest ways to solve the greatest common divisor of 510, 513, 920 i.e 1 in different methods as follows.
Given Input numbers are 510, 513, 920
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 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (510, 513, 920) = 1.
Given numbers are 510, 513, 920
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 510, 513, 920 using LCM Formula
Given numbers are 510, 513, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 513) = 87210
GCD(510, 513) = ( 510 x 513 ) / 87210
= 510 / 513
= 510
Step2:
LCM(3, 920) = 2760
GCD(3, 920) = ( 3 x 920 ) / 2760
= 3 / 920
= 3
So, Greatest Common Divisor of 510, 513, 920 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 510, 513, 920
Given numbers are 510, 513, 920
The greatest common divisor of numbers 510, 513, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 513, 920 is 1.
FAQs on GCD of 510, 513, 920 Calculator
1. What is the GCD of 510, 513, 920?
GCD of given numbers 510, 513, 920 is 1
2. How to calculate the greatest common divisor of 510, 513, 920?
We can find the highest common divisor of 510, 513, 920 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, 513, 920 i.e 1.
3. How can I use the GCD of 510, 513, 920Calculator?
Out the numbers 510, 513, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.