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GCD of 343, 139, 446, 320 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, 139, 446, 320 quickly. Get the easiest ways to solve the greatest common divisor of 343, 139, 446, 320 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 343, 139, 446, 320 with Factoring?

Given Input numbers are 343, 139, 446, 320

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 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320


GCD of numbers is the greatest common divisor

So, the GCD (343, 139, 446, 320) = 1.

Find GCD of 343, 139, 446, 320 using Prime Factorization

Given numbers are 343, 139, 446, 320

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 139 are 139

Prime factors of 446 are 2 x 223

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Steps to Calculate GCD of 343, 139, 446, 320 using LCM Formula

Given numbers are 343, 139, 446, 320

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

Apply this formula for all numbers.

Step1:

LCM(343, 139) = 47677

GCD(343, 139) = ( 343 x 139 ) / 47677

= 343 / 139

= 343


Step2:

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

= 1 / 446

= 1


Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1


So, Greatest Common Divisor of 343, 139, 446, 320 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 343, 139, 446, 320

Given numbers are 343, 139, 446, 320
The greatest common divisor of numbers 343, 139, 446, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 139, 446, 320 is 1.

FAQs on GCD of 343, 139, 446, 320 Calculator

1. What is the GCD of 343, 139, 446, 320?

GCD of given numbers 343, 139, 446, 320 is 1


2. How to calculate the greatest common divisor of 343, 139, 446, 320?

We can find the highest common divisor of 343, 139, 446, 320 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, 139, 446, 320 i.e 1.


3. How can I use the GCD of 343, 139, 446, 320Calculator?

Out the numbers 343, 139, 446, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.