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GCD of 189, 614, 731, 662 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, 614, 731, 662 quickly. Get the easiest ways to solve the greatest common divisor of 189, 614, 731, 662 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 614, 731, 662 with Factoring?

Given Input numbers are 189, 614, 731, 662

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662


GCD of numbers is the greatest common divisor

So, the GCD (189, 614, 731, 662) = 1.

Find GCD of 189, 614, 731, 662 using Prime Factorization

Given numbers are 189, 614, 731, 662

The list of prime factors of all numbers are

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

Prime factors of 614 are 2 x 307

Prime factors of 731 are 17 x 43

Prime factors of 662 are 2 x 331

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

Steps to Calculate GCD of 189, 614, 731, 662 using LCM Formula

Given numbers are 189, 614, 731, 662

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

Apply this formula for all numbers.

Step1:

LCM(189, 614) = 116046

GCD(189, 614) = ( 189 x 614 ) / 116046

= 189 / 614

= 189


Step2:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1


Step3:

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

= 1 / 662

= 1


So, Greatest Common Divisor of 189, 614, 731, 662 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 614, 731, 662

Given numbers are 189, 614, 731, 662
The greatest common divisor of numbers 189, 614, 731, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 614, 731, 662 is 1.

FAQs on GCD of 189, 614, 731, 662 Calculator

1. What is the GCD of 189, 614, 731, 662?

GCD of given numbers 189, 614, 731, 662 is 1


2. How to calculate the greatest common divisor of 189, 614, 731, 662?

We can find the highest common divisor of 189, 614, 731, 662 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, 614, 731, 662 i.e 1.


3. How can I use the GCD of 189, 614, 731, 662Calculator?

Out the numbers 189, 614, 731, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.