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GCD of 510, 143, 34 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 510, 143, 34 quickly. Get the easiest ways to solve the greatest common divisor of 510, 143, 34 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 510, 143, 34 with Factoring?

Given Input numbers are 510, 143, 34

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 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34


GCD of numbers is the greatest common divisor

So, the GCD (510, 143, 34) = 1.

Find GCD of 510, 143, 34 using Prime Factorization

Given numbers are 510, 143, 34

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 143 are 11 x 13

Prime factors of 34 are 2 x 17

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 510, 143, 34 using LCM Formula

Given numbers are 510, 143, 34

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(510, 143) = 72930

GCD(510, 143) = ( 510 x 143 ) / 72930

= 510 / 143

= 510


Step2:

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

= 1 / 34

= 1


So, Greatest Common Divisor of 510, 143, 34 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 510, 143, 34

Given numbers are 510, 143, 34
The greatest common divisor of numbers 510, 143, 34 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 143, 34 is 1.

FAQs on GCD of 510, 143, 34 Calculator

1. What is the GCD of 510, 143, 34?

GCD of given numbers 510, 143, 34 is 1


2. How to calculate the greatest common divisor of 510, 143, 34?

We can find the highest common divisor of 510, 143, 34 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, 143, 34 i.e 1.


3. How can I use the GCD of 510, 143, 34Calculator?

Out the numbers 510, 143, 34 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.