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GCD of 510, 342, 616, 250 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, 342, 616, 250 quickly. Get the easiest ways to solve the greatest common divisor of 510, 342, 616, 250 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 510, 342, 616, 250 with Factoring?

Given Input numbers are 510, 342, 616, 250

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250


GCD of numbers is the greatest common divisor

So, the GCD (510, 342, 616, 250) = 2.

Find GCD of 510, 342, 616, 250 using Prime Factorization

Given numbers are 510, 342, 616, 250

The list of prime factors of all numbers are

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 250 are 2 x 5 x 5 x 5

The highest common occurrence is 21

Therefore, GCD of 510, 342, 616, 250 is 2.

Steps to Calculate GCD of 510, 342, 616, 250 using LCM Formula

Given numbers are 510, 342, 616, 250

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

Apply this formula for all numbers.

Step1:

LCM(510, 342) = 29070

GCD(510, 342) = ( 510 x 342 ) / 29070

= 510 / 342

= 510


Step2:

LCM(6, 616) = 1848

GCD(6, 616) = ( 6 x 616 ) / 1848

= 6 / 616

= 6


Step3:

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

= 2 / 250

= 2


So, Greatest Common Divisor of 510, 342, 616, 250 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 510, 342, 616, 250

Given numbers are 510, 342, 616, 250
The greatest common divisor of numbers 510, 342, 616, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 342, 616, 250 is 2.

FAQs on GCD of 510, 342, 616, 250 Calculator

1. What is the GCD of 510, 342, 616, 250?

GCD of given numbers 510, 342, 616, 250 is 2


2. How to calculate the greatest common divisor of 510, 342, 616, 250?

We can find the highest common divisor of 510, 342, 616, 250 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, 342, 616, 250 i.e 2.


3. How can I use the GCD of 510, 342, 616, 250Calculator?

Out the numbers 510, 342, 616, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.