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GCD of 510, 842, 136, 342 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, 842, 136, 342 quickly. Get the easiest ways to solve the greatest common divisor of 510, 842, 136, 342 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 510, 842, 136, 342 with Factoring?

Given Input numbers are 510, 842, 136, 342

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 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

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


GCD of numbers is the greatest common divisor

So, the GCD (510, 842, 136, 342) = 2.

Find GCD of 510, 842, 136, 342 using Prime Factorization

Given numbers are 510, 842, 136, 342

The list of prime factors of all numbers are

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

Prime factors of 842 are 2 x 421

Prime factors of 136 are 2 x 2 x 2 x 17

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

The highest common occurrence is 21

Therefore, GCD of 510, 842, 136, 342 is 2.

Steps to Calculate GCD of 510, 842, 136, 342 using LCM Formula

Given numbers are 510, 842, 136, 342

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

Apply this formula for all numbers.

Step1:

LCM(510, 842) = 214710

GCD(510, 842) = ( 510 x 842 ) / 214710

= 510 / 842

= 510


Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2


Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2


So, Greatest Common Divisor of 510, 842, 136, 342 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 510, 842, 136, 342

Given numbers are 510, 842, 136, 342
The greatest common divisor of numbers 510, 842, 136, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 842, 136, 342 is 2.

FAQs on GCD of 510, 842, 136, 342 Calculator

1. What is the GCD of 510, 842, 136, 342?

GCD of given numbers 510, 842, 136, 342 is 2


2. How to calculate the greatest common divisor of 510, 842, 136, 342?

We can find the highest common divisor of 510, 842, 136, 342 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, 842, 136, 342 i.e 2.


3. How can I use the GCD of 510, 842, 136, 342Calculator?

Out the numbers 510, 842, 136, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.