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GCD of 996, 436, 66, 480 Calculator

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


Online GCD Calculator is useful to find the GCD of 996, 436, 66, 480 quickly. Get the easiest ways to solve the greatest common divisor of 996, 436, 66, 480 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 436, 66, 480 with Factoring?

Given Input numbers are 996, 436, 66, 480

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480


GCD of numbers is the greatest common divisor

So, the GCD (996, 436, 66, 480) = 2.

Find GCD of 996, 436, 66, 480 using Prime Factorization

Given numbers are 996, 436, 66, 480

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 436 are 2 x 2 x 109

Prime factors of 66 are 2 x 3 x 11

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 996, 436, 66, 480 is 2.

Steps to Calculate GCD of 996, 436, 66, 480 using LCM Formula

Given numbers are 996, 436, 66, 480

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

Apply this formula for all numbers.

Step1:

LCM(996, 436) = 108564

GCD(996, 436) = ( 996 x 436 ) / 108564

= 996 / 436

= 996


Step2:

LCM(4, 66) = 132

GCD(4, 66) = ( 4 x 66 ) / 132

= 4 / 66

= 4


Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2


So, Greatest Common Divisor of 996, 436, 66, 480 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 436, 66, 480

Given numbers are 996, 436, 66, 480
The greatest common divisor of numbers 996, 436, 66, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 436, 66, 480 is 2.

FAQs on GCD of 996, 436, 66, 480 Calculator

1. What is the GCD of 996, 436, 66, 480?

GCD of given numbers 996, 436, 66, 480 is 2


2. How to calculate the greatest common divisor of 996, 436, 66, 480?

We can find the highest common divisor of 996, 436, 66, 480 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 996, 436, 66, 480 i.e 2.


3. How can I use the GCD of 996, 436, 66, 480Calculator?

Out the numbers 996, 436, 66, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.