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GCD of 999, 998, 703, 253 Calculator

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


Online GCD Calculator is useful to find the GCD of 999, 998, 703, 253 quickly. Get the easiest ways to solve the greatest common divisor of 999, 998, 703, 253 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 999, 998, 703, 253 with Factoring?

Given Input numbers are 999, 998, 703, 253

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

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 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253


GCD of numbers is the greatest common divisor

So, the GCD (999, 998, 703, 253) = 1.

Find GCD of 999, 998, 703, 253 using Prime Factorization

Given numbers are 999, 998, 703, 253

The list of prime factors of all numbers are

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 998 are 2 x 499

Prime factors of 703 are 19 x 37

Prime factors of 253 are 11 x 23

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

Steps to Calculate GCD of 999, 998, 703, 253 using LCM Formula

Given numbers are 999, 998, 703, 253

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

Apply this formula for all numbers.

Step1:

LCM(999, 998) = 997002

GCD(999, 998) = ( 999 x 998 ) / 997002

= 999 / 998

= 999


Step2:

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

= 1 / 703

= 1


Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1


So, Greatest Common Divisor of 999, 998, 703, 253 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 999, 998, 703, 253

Given numbers are 999, 998, 703, 253
The greatest common divisor of numbers 999, 998, 703, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 998, 703, 253 is 1.

FAQs on GCD of 999, 998, 703, 253 Calculator

1. What is the GCD of 999, 998, 703, 253?

GCD of given numbers 999, 998, 703, 253 is 1


2. How to calculate the greatest common divisor of 999, 998, 703, 253?

We can find the highest common divisor of 999, 998, 703, 253 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 999, 998, 703, 253 i.e 1.


3. How can I use the GCD of 999, 998, 703, 253Calculator?

Out the numbers 999, 998, 703, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.