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GCD of 998, 703, 753, 733 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, 703, 753, 733 quickly. Get the easiest ways to solve the greatest common divisor of 998, 703, 753, 733 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 998, 703, 753, 733 with Factoring?

Given Input numbers are 998, 703, 753, 733

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 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733


GCD of numbers is the greatest common divisor

So, the GCD (998, 703, 753, 733) = 1.

Find GCD of 998, 703, 753, 733 using Prime Factorization

Given numbers are 998, 703, 753, 733

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 703 are 19 x 37

Prime factors of 753 are 3 x 251

Prime factors of 733 are 733

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

Steps to Calculate GCD of 998, 703, 753, 733 using LCM Formula

Given numbers are 998, 703, 753, 733

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

Apply this formula for all numbers.

Step1:

LCM(998, 703) = 701594

GCD(998, 703) = ( 998 x 703 ) / 701594

= 998 / 703

= 998


Step2:

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

= 1 / 753

= 1


Step3:

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

= 1 / 733

= 1


So, Greatest Common Divisor of 998, 703, 753, 733 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 998, 703, 753, 733

Given numbers are 998, 703, 753, 733
The greatest common divisor of numbers 998, 703, 753, 733 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 703, 753, 733 is 1.

FAQs on GCD of 998, 703, 753, 733 Calculator

1. What is the GCD of 998, 703, 753, 733?

GCD of given numbers 998, 703, 753, 733 is 1


2. How to calculate the greatest common divisor of 998, 703, 753, 733?

We can find the highest common divisor of 998, 703, 753, 733 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, 703, 753, 733 i.e 1.


3. How can I use the GCD of 998, 703, 753, 733Calculator?

Out the numbers 998, 703, 753, 733 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.