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GCD of 990, 730, 528, 726 Calculator

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


Online GCD Calculator is useful to find the GCD of 990, 730, 528, 726 quickly. Get the easiest ways to solve the greatest common divisor of 990, 730, 528, 726 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 730, 528, 726 with Factoring?

Given Input numbers are 990, 730, 528, 726

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726


GCD of numbers is the greatest common divisor

So, the GCD (990, 730, 528, 726) = 2.

Find GCD of 990, 730, 528, 726 using Prime Factorization

Given numbers are 990, 730, 528, 726

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 730 are 2 x 5 x 73

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 21

Therefore, GCD of 990, 730, 528, 726 is 2.

Steps to Calculate GCD of 990, 730, 528, 726 using LCM Formula

Given numbers are 990, 730, 528, 726

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

Apply this formula for all numbers.

Step1:

LCM(990, 730) = 72270

GCD(990, 730) = ( 990 x 730 ) / 72270

= 990 / 730

= 990


Step2:

LCM(10, 528) = 2640

GCD(10, 528) = ( 10 x 528 ) / 2640

= 10 / 528

= 10


Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2


So, Greatest Common Divisor of 990, 730, 528, 726 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 730, 528, 726

Given numbers are 990, 730, 528, 726
The greatest common divisor of numbers 990, 730, 528, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 730, 528, 726 is 2.

FAQs on GCD of 990, 730, 528, 726 Calculator

1. What is the GCD of 990, 730, 528, 726?

GCD of given numbers 990, 730, 528, 726 is 2


2. How to calculate the greatest common divisor of 990, 730, 528, 726?

We can find the highest common divisor of 990, 730, 528, 726 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 990, 730, 528, 726 i.e 2.


3. How can I use the GCD of 990, 730, 528, 726Calculator?

Out the numbers 990, 730, 528, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.