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GCD of 210, 305, 231, 508 Calculator

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


Online GCD Calculator is useful to find the GCD of 210, 305, 231, 508 quickly. Get the easiest ways to solve the greatest common divisor of 210, 305, 231, 508 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 210, 305, 231, 508 with Factoring?

Given Input numbers are 210, 305, 231, 508

In the factoring method, we have to find the divisors of all numbers

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (210, 305, 231, 508) = 1.

Find GCD of 210, 305, 231, 508 using Prime Factorization

Given numbers are 210, 305, 231, 508

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 305 are 5 x 61

Prime factors of 231 are 3 x 7 x 11

Prime factors of 508 are 2 x 2 x 127

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

Steps to Calculate GCD of 210, 305, 231, 508 using LCM Formula

Given numbers are 210, 305, 231, 508

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

Apply this formula for all numbers.

Step1:

LCM(210, 305) = 12810

GCD(210, 305) = ( 210 x 305 ) / 12810

= 210 / 305

= 210


Step2:

LCM(5, 231) = 1155

GCD(5, 231) = ( 5 x 231 ) / 1155

= 5 / 231

= 5


Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1


So, Greatest Common Divisor of 210, 305, 231, 508 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 210, 305, 231, 508

Given numbers are 210, 305, 231, 508
The greatest common divisor of numbers 210, 305, 231, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 305, 231, 508 is 1.

FAQs on GCD of 210, 305, 231, 508 Calculator

1. What is the GCD of 210, 305, 231, 508?

GCD of given numbers 210, 305, 231, 508 is 1


2. How to calculate the greatest common divisor of 210, 305, 231, 508?

We can find the highest common divisor of 210, 305, 231, 508 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 210, 305, 231, 508 i.e 1.


3. How can I use the GCD of 210, 305, 231, 508Calculator?

Out the numbers 210, 305, 231, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.