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GCD of 343, 237, 549, 675 Calculator

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


Online GCD Calculator is useful to find the GCD of 343, 237, 549, 675 quickly. Get the easiest ways to solve the greatest common divisor of 343, 237, 549, 675 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 343, 237, 549, 675 with Factoring?

Given Input numbers are 343, 237, 549, 675

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

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675


GCD of numbers is the greatest common divisor

So, the GCD (343, 237, 549, 675) = 1.

Find GCD of 343, 237, 549, 675 using Prime Factorization

Given numbers are 343, 237, 549, 675

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 237 are 3 x 79

Prime factors of 549 are 3 x 3 x 61

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Steps to Calculate GCD of 343, 237, 549, 675 using LCM Formula

Given numbers are 343, 237, 549, 675

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

Apply this formula for all numbers.

Step1:

LCM(343, 237) = 81291

GCD(343, 237) = ( 343 x 237 ) / 81291

= 343 / 237

= 343


Step2:

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

= 1 / 549

= 1


Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1


So, Greatest Common Divisor of 343, 237, 549, 675 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 343, 237, 549, 675

Given numbers are 343, 237, 549, 675
The greatest common divisor of numbers 343, 237, 549, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 237, 549, 675 is 1.

FAQs on GCD of 343, 237, 549, 675 Calculator

1. What is the GCD of 343, 237, 549, 675?

GCD of given numbers 343, 237, 549, 675 is 1


2. How to calculate the greatest common divisor of 343, 237, 549, 675?

We can find the highest common divisor of 343, 237, 549, 675 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 343, 237, 549, 675 i.e 1.


3. How can I use the GCD of 343, 237, 549, 675Calculator?

Out the numbers 343, 237, 549, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.