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GCD of 267, 816, 182, 343 Calculator

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


Online GCD Calculator is useful to find the GCD of 267, 816, 182, 343 quickly. Get the easiest ways to solve the greatest common divisor of 267, 816, 182, 343 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 267, 816, 182, 343 with Factoring?

Given Input numbers are 267, 816, 182, 343

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

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 182 :

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

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

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343


GCD of numbers is the greatest common divisor

So, the GCD (267, 816, 182, 343) = 1.

Find GCD of 267, 816, 182, 343 using Prime Factorization

Given numbers are 267, 816, 182, 343

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 182 are 2 x 7 x 13

Prime factors of 343 are 7 x 7 x 7

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

Steps to Calculate GCD of 267, 816, 182, 343 using LCM Formula

Given numbers are 267, 816, 182, 343

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

Apply this formula for all numbers.

Step1:

LCM(267, 816) = 72624

GCD(267, 816) = ( 267 x 816 ) / 72624

= 267 / 816

= 267


Step2:

LCM(3, 182) = 546

GCD(3, 182) = ( 3 x 182 ) / 546

= 3 / 182

= 3


Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1


So, Greatest Common Divisor of 267, 816, 182, 343 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 267, 816, 182, 343

Given numbers are 267, 816, 182, 343
The greatest common divisor of numbers 267, 816, 182, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 816, 182, 343 is 1.

FAQs on GCD of 267, 816, 182, 343 Calculator

1. What is the GCD of 267, 816, 182, 343?

GCD of given numbers 267, 816, 182, 343 is 1


2. How to calculate the greatest common divisor of 267, 816, 182, 343?

We can find the highest common divisor of 267, 816, 182, 343 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 267, 816, 182, 343 i.e 1.


3. How can I use the GCD of 267, 816, 182, 343Calculator?

Out the numbers 267, 816, 182, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.