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GCD of 230, 748, 355, 182 Calculator

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


Online GCD Calculator is useful to find the GCD of 230, 748, 355, 182 quickly. Get the easiest ways to solve the greatest common divisor of 230, 748, 355, 182 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 230, 748, 355, 182 with Factoring?

Given Input numbers are 230, 748, 355, 182

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182


GCD of numbers is the greatest common divisor

So, the GCD (230, 748, 355, 182) = 1.

Find GCD of 230, 748, 355, 182 using Prime Factorization

Given numbers are 230, 748, 355, 182

The list of prime factors of all numbers are

Prime factors of 230 are 2 x 5 x 23

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 355 are 5 x 71

Prime factors of 182 are 2 x 7 x 13

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

Steps to Calculate GCD of 230, 748, 355, 182 using LCM Formula

Given numbers are 230, 748, 355, 182

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

Apply this formula for all numbers.

Step1:

LCM(230, 748) = 86020

GCD(230, 748) = ( 230 x 748 ) / 86020

= 230 / 748

= 230


Step2:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2


Step3:

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

= 1 / 182

= 1


So, Greatest Common Divisor of 230, 748, 355, 182 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 230, 748, 355, 182

Given numbers are 230, 748, 355, 182
The greatest common divisor of numbers 230, 748, 355, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 748, 355, 182 is 1.

FAQs on GCD of 230, 748, 355, 182 Calculator

1. What is the GCD of 230, 748, 355, 182?

GCD of given numbers 230, 748, 355, 182 is 1


2. How to calculate the greatest common divisor of 230, 748, 355, 182?

We can find the highest common divisor of 230, 748, 355, 182 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 230, 748, 355, 182 i.e 1.


3. How can I use the GCD of 230, 748, 355, 182Calculator?

Out the numbers 230, 748, 355, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.