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GCD of 730, 836, 982, 984 Calculator

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


Online GCD Calculator is useful to find the GCD of 730, 836, 982, 984 quickly. Get the easiest ways to solve the greatest common divisor of 730, 836, 982, 984 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 730, 836, 982, 984 with Factoring?

Given Input numbers are 730, 836, 982, 984

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

Divisors of 730 :

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

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

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984


GCD of numbers is the greatest common divisor

So, the GCD (730, 836, 982, 984) = 2.

Find GCD of 730, 836, 982, 984 using Prime Factorization

Given numbers are 730, 836, 982, 984

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 982 are 2 x 491

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 21

Therefore, GCD of 730, 836, 982, 984 is 2.

Steps to Calculate GCD of 730, 836, 982, 984 using LCM Formula

Given numbers are 730, 836, 982, 984

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

Apply this formula for all numbers.

Step1:

LCM(730, 836) = 305140

GCD(730, 836) = ( 730 x 836 ) / 305140

= 730 / 836

= 730


Step2:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2


Step3:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2


So, Greatest Common Divisor of 730, 836, 982, 984 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 730, 836, 982, 984

Given numbers are 730, 836, 982, 984
The greatest common divisor of numbers 730, 836, 982, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 836, 982, 984 is 2.

FAQs on GCD of 730, 836, 982, 984 Calculator

1. What is the GCD of 730, 836, 982, 984?

GCD of given numbers 730, 836, 982, 984 is 2


2. How to calculate the greatest common divisor of 730, 836, 982, 984?

We can find the highest common divisor of 730, 836, 982, 984 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 730, 836, 982, 984 i.e 2.


3. How can I use the GCD of 730, 836, 982, 984Calculator?

Out the numbers 730, 836, 982, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.