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GCD of 984, 936, 676, 882 Calculator

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


Online GCD Calculator is useful to find the GCD of 984, 936, 676, 882 quickly. Get the easiest ways to solve the greatest common divisor of 984, 936, 676, 882 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 984, 936, 676, 882 with Factoring?

Given Input numbers are 984, 936, 676, 882

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

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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


GCD of numbers is the greatest common divisor

So, the GCD (984, 936, 676, 882) = 2.

Find GCD of 984, 936, 676, 882 using Prime Factorization

Given numbers are 984, 936, 676, 882

The list of prime factors of all numbers are

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

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 676 are 2 x 2 x 13 x 13

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

The highest common occurrence is 21

Therefore, GCD of 984, 936, 676, 882 is 2.

Steps to Calculate GCD of 984, 936, 676, 882 using LCM Formula

Given numbers are 984, 936, 676, 882

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

Apply this formula for all numbers.

Step1:

LCM(984, 936) = 38376

GCD(984, 936) = ( 984 x 936 ) / 38376

= 984 / 936

= 984


Step2:

LCM(24, 676) = 4056

GCD(24, 676) = ( 24 x 676 ) / 4056

= 24 / 676

= 24


Step3:

LCM(4, 882) = 1764

GCD(4, 882) = ( 4 x 882 ) / 1764

= 4 / 882

= 4


So, Greatest Common Divisor of 984, 936, 676, 882 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 984, 936, 676, 882

Given numbers are 984, 936, 676, 882
The greatest common divisor of numbers 984, 936, 676, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 936, 676, 882 is 2.

FAQs on GCD of 984, 936, 676, 882 Calculator

1. What is the GCD of 984, 936, 676, 882?

GCD of given numbers 984, 936, 676, 882 is 2


2. How to calculate the greatest common divisor of 984, 936, 676, 882?

We can find the highest common divisor of 984, 936, 676, 882 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 984, 936, 676, 882 i.e 2.


3. How can I use the GCD of 984, 936, 676, 882Calculator?

Out the numbers 984, 936, 676, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.