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GCD of 340, 382, 271, 189 Calculator

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


Online GCD Calculator is useful to find the GCD of 340, 382, 271, 189 quickly. Get the easiest ways to solve the greatest common divisor of 340, 382, 271, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 340, 382, 271, 189 with Factoring?

Given Input numbers are 340, 382, 271, 189

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189


GCD of numbers is the greatest common divisor

So, the GCD (340, 382, 271, 189) = 1.

Find GCD of 340, 382, 271, 189 using Prime Factorization

Given numbers are 340, 382, 271, 189

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 382 are 2 x 191

Prime factors of 271 are 271

Prime factors of 189 are 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 340, 382, 271, 189 using LCM Formula

Given numbers are 340, 382, 271, 189

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

Apply this formula for all numbers.

Step1:

LCM(340, 382) = 64940

GCD(340, 382) = ( 340 x 382 ) / 64940

= 340 / 382

= 340


Step2:

LCM(2, 271) = 542

GCD(2, 271) = ( 2 x 271 ) / 542

= 2 / 271

= 2


Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


So, Greatest Common Divisor of 340, 382, 271, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 340, 382, 271, 189

Given numbers are 340, 382, 271, 189
The greatest common divisor of numbers 340, 382, 271, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 382, 271, 189 is 1.

FAQs on GCD of 340, 382, 271, 189 Calculator

1. What is the GCD of 340, 382, 271, 189?

GCD of given numbers 340, 382, 271, 189 is 1


2. How to calculate the greatest common divisor of 340, 382, 271, 189?

We can find the highest common divisor of 340, 382, 271, 189 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 340, 382, 271, 189 i.e 1.


3. How can I use the GCD of 340, 382, 271, 189Calculator?

Out the numbers 340, 382, 271, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.