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GCD of 993, 714, 618, 681 Calculator

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


Online GCD Calculator is useful to find the GCD of 993, 714, 618, 681 quickly. Get the easiest ways to solve the greatest common divisor of 993, 714, 618, 681 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 993, 714, 618, 681 with Factoring?

Given Input numbers are 993, 714, 618, 681

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681


GCD of numbers is the greatest common divisor

So, the GCD (993, 714, 618, 681) = 3.

Find GCD of 993, 714, 618, 681 using Prime Factorization

Given numbers are 993, 714, 618, 681

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 618 are 2 x 3 x 103

Prime factors of 681 are 3 x 227

The highest common occurrence is 31

Therefore, GCD of 993, 714, 618, 681 is 3.

Steps to Calculate GCD of 993, 714, 618, 681 using LCM Formula

Given numbers are 993, 714, 618, 681

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

Apply this formula for all numbers.

Step1:

LCM(993, 714) = 236334

GCD(993, 714) = ( 993 x 714 ) / 236334

= 993 / 714

= 993


Step2:

LCM(3, 618) = 618

GCD(3, 618) = ( 3 x 618 ) / 618

= 3 / 618

= 3


Step3:

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

= 3 / 681

= 3


So, Greatest Common Divisor of 993, 714, 618, 681 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 993, 714, 618, 681

Given numbers are 993, 714, 618, 681
The greatest common divisor of numbers 993, 714, 618, 681 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 714, 618, 681 is 3.

FAQs on GCD of 993, 714, 618, 681 Calculator

1. What is the GCD of 993, 714, 618, 681?

GCD of given numbers 993, 714, 618, 681 is 3


2. How to calculate the greatest common divisor of 993, 714, 618, 681?

We can find the highest common divisor of 993, 714, 618, 681 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 993, 714, 618, 681 i.e 3.


3. How can I use the GCD of 993, 714, 618, 681Calculator?

Out the numbers 993, 714, 618, 681 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.