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GCD of 999, 711, 742, 757 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, 711, 742, 757 quickly. Get the easiest ways to solve the greatest common divisor of 999, 711, 742, 757 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 999, 711, 742, 757 with Factoring?

Given Input numbers are 999, 711, 742, 757

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 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 757 :

The positive integer divisors of 757 that completely divides 757 are.

1, 757


GCD of numbers is the greatest common divisor

So, the GCD (999, 711, 742, 757) = 1.

Find GCD of 999, 711, 742, 757 using Prime Factorization

Given numbers are 999, 711, 742, 757

The list of prime factors of all numbers are

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

Prime factors of 711 are 3 x 3 x 79

Prime factors of 742 are 2 x 7 x 53

Prime factors of 757 are 757

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

Steps to Calculate GCD of 999, 711, 742, 757 using LCM Formula

Given numbers are 999, 711, 742, 757

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

Apply this formula for all numbers.

Step1:

LCM(999, 711) = 78921

GCD(999, 711) = ( 999 x 711 ) / 78921

= 999 / 711

= 999


Step2:

LCM(9, 742) = 6678

GCD(9, 742) = ( 9 x 742 ) / 6678

= 9 / 742

= 9


Step3:

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

= 1 / 757

= 1


So, Greatest Common Divisor of 999, 711, 742, 757 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 999, 711, 742, 757

Given numbers are 999, 711, 742, 757
The greatest common divisor of numbers 999, 711, 742, 757 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 711, 742, 757 is 1.

FAQs on GCD of 999, 711, 742, 757 Calculator

1. What is the GCD of 999, 711, 742, 757?

GCD of given numbers 999, 711, 742, 757 is 1


2. How to calculate the greatest common divisor of 999, 711, 742, 757?

We can find the highest common divisor of 999, 711, 742, 757 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, 711, 742, 757 i.e 1.


3. How can I use the GCD of 999, 711, 742, 757Calculator?

Out the numbers 999, 711, 742, 757 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.