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GCD of 627, 192, 998, 614 Calculator

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


Online GCD Calculator is useful to find the GCD of 627, 192, 998, 614 quickly. Get the easiest ways to solve the greatest common divisor of 627, 192, 998, 614 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 627, 192, 998, 614 with Factoring?

Given Input numbers are 627, 192, 998, 614

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

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 614 :

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

1, 2, 307, 614


GCD of numbers is the greatest common divisor

So, the GCD (627, 192, 998, 614) = 1.

Find GCD of 627, 192, 998, 614 using Prime Factorization

Given numbers are 627, 192, 998, 614

The list of prime factors of all numbers are

Prime factors of 627 are 3 x 11 x 19

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 998 are 2 x 499

Prime factors of 614 are 2 x 307

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

Steps to Calculate GCD of 627, 192, 998, 614 using LCM Formula

Given numbers are 627, 192, 998, 614

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

Apply this formula for all numbers.

Step1:

LCM(627, 192) = 40128

GCD(627, 192) = ( 627 x 192 ) / 40128

= 627 / 192

= 627


Step2:

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

= 3 / 998

= 3


Step3:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1


So, Greatest Common Divisor of 627, 192, 998, 614 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 627, 192, 998, 614

Given numbers are 627, 192, 998, 614
The greatest common divisor of numbers 627, 192, 998, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 192, 998, 614 is 1.

FAQs on GCD of 627, 192, 998, 614 Calculator

1. What is the GCD of 627, 192, 998, 614?

GCD of given numbers 627, 192, 998, 614 is 1


2. How to calculate the greatest common divisor of 627, 192, 998, 614?

We can find the highest common divisor of 627, 192, 998, 614 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 627, 192, 998, 614 i.e 1.


3. How can I use the GCD of 627, 192, 998, 614Calculator?

Out the numbers 627, 192, 998, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.