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GCD of 189, 624, 411, 340 Calculator

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


Online GCD Calculator is useful to find the GCD of 189, 624, 411, 340 quickly. Get the easiest ways to solve the greatest common divisor of 189, 624, 411, 340 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 624, 411, 340 with Factoring?

Given Input numbers are 189, 624, 411, 340

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

Divisors of 189 :

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

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

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


GCD of numbers is the greatest common divisor

So, the GCD (189, 624, 411, 340) = 1.

Find GCD of 189, 624, 411, 340 using Prime Factorization

Given numbers are 189, 624, 411, 340

The list of prime factors of all numbers are

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

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 411 are 3 x 137

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

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

Steps to Calculate GCD of 189, 624, 411, 340 using LCM Formula

Given numbers are 189, 624, 411, 340

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

Apply this formula for all numbers.

Step1:

LCM(189, 624) = 39312

GCD(189, 624) = ( 189 x 624 ) / 39312

= 189 / 624

= 189


Step2:

LCM(3, 411) = 411

GCD(3, 411) = ( 3 x 411 ) / 411

= 3 / 411

= 3


Step3:

LCM(3, 340) = 1020

GCD(3, 340) = ( 3 x 340 ) / 1020

= 3 / 340

= 3


So, Greatest Common Divisor of 189, 624, 411, 340 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 624, 411, 340

Given numbers are 189, 624, 411, 340
The greatest common divisor of numbers 189, 624, 411, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 624, 411, 340 is 1.

FAQs on GCD of 189, 624, 411, 340 Calculator

1. What is the GCD of 189, 624, 411, 340?

GCD of given numbers 189, 624, 411, 340 is 1


2. How to calculate the greatest common divisor of 189, 624, 411, 340?

We can find the highest common divisor of 189, 624, 411, 340 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 189, 624, 411, 340 i.e 1.


3. How can I use the GCD of 189, 624, 411, 340Calculator?

Out the numbers 189, 624, 411, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.