LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 982, 894, 462, 924 Calculator

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


Online GCD Calculator is useful to find the GCD of 982, 894, 462, 924 quickly. Get the easiest ways to solve the greatest common divisor of 982, 894, 462, 924 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 982, 894, 462, 924 with Factoring?

Given Input numbers are 982, 894, 462, 924

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

Divisors of 982 :

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

1, 2, 491, 982

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924


GCD of numbers is the greatest common divisor

So, the GCD (982, 894, 462, 924) = 2.

Find GCD of 982, 894, 462, 924 using Prime Factorization

Given numbers are 982, 894, 462, 924

The list of prime factors of all numbers are

Prime factors of 982 are 2 x 491

Prime factors of 894 are 2 x 3 x 149

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 21

Therefore, GCD of 982, 894, 462, 924 is 2.

Steps to Calculate GCD of 982, 894, 462, 924 using LCM Formula

Given numbers are 982, 894, 462, 924

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

Apply this formula for all numbers.

Step1:

LCM(982, 894) = 438954

GCD(982, 894) = ( 982 x 894 ) / 438954

= 982 / 894

= 982


Step2:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2


Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2


So, Greatest Common Divisor of 982, 894, 462, 924 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 982, 894, 462, 924

Given numbers are 982, 894, 462, 924
The greatest common divisor of numbers 982, 894, 462, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 894, 462, 924 is 2.

FAQs on GCD of 982, 894, 462, 924 Calculator

1. What is the GCD of 982, 894, 462, 924?

GCD of given numbers 982, 894, 462, 924 is 2


2. How to calculate the greatest common divisor of 982, 894, 462, 924?

We can find the highest common divisor of 982, 894, 462, 924 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 982, 894, 462, 924 i.e 2.


3. How can I use the GCD of 982, 894, 462, 924Calculator?

Out the numbers 982, 894, 462, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.