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GCD of 998, 618, 643, 913 Calculator

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


Online GCD Calculator is useful to find the GCD of 998, 618, 643, 913 quickly. Get the easiest ways to solve the greatest common divisor of 998, 618, 643, 913 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 998, 618, 643, 913 with Factoring?

Given Input numbers are 998, 618, 643, 913

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

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 618 :

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

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

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913


GCD of numbers is the greatest common divisor

So, the GCD (998, 618, 643, 913) = 1.

Find GCD of 998, 618, 643, 913 using Prime Factorization

Given numbers are 998, 618, 643, 913

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 618 are 2 x 3 x 103

Prime factors of 643 are 643

Prime factors of 913 are 11 x 83

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

Steps to Calculate GCD of 998, 618, 643, 913 using LCM Formula

Given numbers are 998, 618, 643, 913

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

Apply this formula for all numbers.

Step1:

LCM(998, 618) = 308382

GCD(998, 618) = ( 998 x 618 ) / 308382

= 998 / 618

= 998


Step2:

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

= 2 / 643

= 2


Step3:

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

= 1 / 913

= 1


So, Greatest Common Divisor of 998, 618, 643, 913 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 998, 618, 643, 913

Given numbers are 998, 618, 643, 913
The greatest common divisor of numbers 998, 618, 643, 913 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 618, 643, 913 is 1.

FAQs on GCD of 998, 618, 643, 913 Calculator

1. What is the GCD of 998, 618, 643, 913?

GCD of given numbers 998, 618, 643, 913 is 1


2. How to calculate the greatest common divisor of 998, 618, 643, 913?

We can find the highest common divisor of 998, 618, 643, 913 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 998, 618, 643, 913 i.e 1.


3. How can I use the GCD of 998, 618, 643, 913Calculator?

Out the numbers 998, 618, 643, 913 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.