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GCD of 982, 470, 844, 462 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, 470, 844, 462 quickly. Get the easiest ways to solve the greatest common divisor of 982, 470, 844, 462 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 982, 470, 844, 462 with Factoring?

Given Input numbers are 982, 470, 844, 462

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

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


GCD of numbers is the greatest common divisor

So, the GCD (982, 470, 844, 462) = 2.

Find GCD of 982, 470, 844, 462 using Prime Factorization

Given numbers are 982, 470, 844, 462

The list of prime factors of all numbers are

Prime factors of 982 are 2 x 491

Prime factors of 470 are 2 x 5 x 47

Prime factors of 844 are 2 x 2 x 211

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

The highest common occurrence is 21

Therefore, GCD of 982, 470, 844, 462 is 2.

Steps to Calculate GCD of 982, 470, 844, 462 using LCM Formula

Given numbers are 982, 470, 844, 462

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

Apply this formula for all numbers.

Step1:

LCM(982, 470) = 230770

GCD(982, 470) = ( 982 x 470 ) / 230770

= 982 / 470

= 982


Step2:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2


Step3:

LCM(2, 462) = 462

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

= 2 / 462

= 2


So, Greatest Common Divisor of 982, 470, 844, 462 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 982, 470, 844, 462

Given numbers are 982, 470, 844, 462
The greatest common divisor of numbers 982, 470, 844, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 470, 844, 462 is 2.

FAQs on GCD of 982, 470, 844, 462 Calculator

1. What is the GCD of 982, 470, 844, 462?

GCD of given numbers 982, 470, 844, 462 is 2


2. How to calculate the greatest common divisor of 982, 470, 844, 462?

We can find the highest common divisor of 982, 470, 844, 462 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, 470, 844, 462 i.e 2.


3. How can I use the GCD of 982, 470, 844, 462Calculator?

Out the numbers 982, 470, 844, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.