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GCD of 982, 882, 724, 832 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, 882, 724, 832 quickly. Get the easiest ways to solve the greatest common divisor of 982, 882, 724, 832 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 982, 882, 724, 832 with Factoring?

Given Input numbers are 982, 882, 724, 832

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832


GCD of numbers is the greatest common divisor

So, the GCD (982, 882, 724, 832) = 2.

Find GCD of 982, 882, 724, 832 using Prime Factorization

Given numbers are 982, 882, 724, 832

The list of prime factors of all numbers are

Prime factors of 982 are 2 x 491

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 724 are 2 x 2 x 181

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

The highest common occurrence is 21

Therefore, GCD of 982, 882, 724, 832 is 2.

Steps to Calculate GCD of 982, 882, 724, 832 using LCM Formula

Given numbers are 982, 882, 724, 832

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

Apply this formula for all numbers.

Step1:

LCM(982, 882) = 433062

GCD(982, 882) = ( 982 x 882 ) / 433062

= 982 / 882

= 982


Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2


Step3:

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

= 2 / 832

= 2


So, Greatest Common Divisor of 982, 882, 724, 832 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 982, 882, 724, 832

Given numbers are 982, 882, 724, 832
The greatest common divisor of numbers 982, 882, 724, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 882, 724, 832 is 2.

FAQs on GCD of 982, 882, 724, 832 Calculator

1. What is the GCD of 982, 882, 724, 832?

GCD of given numbers 982, 882, 724, 832 is 2


2. How to calculate the greatest common divisor of 982, 882, 724, 832?

We can find the highest common divisor of 982, 882, 724, 832 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, 882, 724, 832 i.e 2.


3. How can I use the GCD of 982, 882, 724, 832Calculator?

Out the numbers 982, 882, 724, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.