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GCD of 999, 748, 357, 889 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, 748, 357, 889 quickly. Get the easiest ways to solve the greatest common divisor of 999, 748, 357, 889 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 999, 748, 357, 889 with Factoring?

Given Input numbers are 999, 748, 357, 889

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889


GCD of numbers is the greatest common divisor

So, the GCD (999, 748, 357, 889) = 1.

Find GCD of 999, 748, 357, 889 using Prime Factorization

Given numbers are 999, 748, 357, 889

The list of prime factors of all numbers are

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

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 357 are 3 x 7 x 17

Prime factors of 889 are 7 x 127

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

Steps to Calculate GCD of 999, 748, 357, 889 using LCM Formula

Given numbers are 999, 748, 357, 889

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

Apply this formula for all numbers.

Step1:

LCM(999, 748) = 747252

GCD(999, 748) = ( 999 x 748 ) / 747252

= 999 / 748

= 999


Step2:

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

= 1 / 357

= 1


Step3:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1


So, Greatest Common Divisor of 999, 748, 357, 889 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 999, 748, 357, 889

Given numbers are 999, 748, 357, 889
The greatest common divisor of numbers 999, 748, 357, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 748, 357, 889 is 1.

FAQs on GCD of 999, 748, 357, 889 Calculator

1. What is the GCD of 999, 748, 357, 889?

GCD of given numbers 999, 748, 357, 889 is 1


2. How to calculate the greatest common divisor of 999, 748, 357, 889?

We can find the highest common divisor of 999, 748, 357, 889 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, 748, 357, 889 i.e 1.


3. How can I use the GCD of 999, 748, 357, 889Calculator?

Out the numbers 999, 748, 357, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.