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GCD of 996, 660, 226, 150 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, 660, 226, 150 quickly. Get the easiest ways to solve the greatest common divisor of 996, 660, 226, 150 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 660, 226, 150 with Factoring?

Given Input numbers are 996, 660, 226, 150

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150


GCD of numbers is the greatest common divisor

So, the GCD (996, 660, 226, 150) = 2.

Find GCD of 996, 660, 226, 150 using Prime Factorization

Given numbers are 996, 660, 226, 150

The list of prime factors of all numbers are

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 226 are 2 x 113

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 21

Therefore, GCD of 996, 660, 226, 150 is 2.

Steps to Calculate GCD of 996, 660, 226, 150 using LCM Formula

Given numbers are 996, 660, 226, 150

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

Apply this formula for all numbers.

Step1:

LCM(996, 660) = 54780

GCD(996, 660) = ( 996 x 660 ) / 54780

= 996 / 660

= 996


Step2:

LCM(12, 226) = 1356

GCD(12, 226) = ( 12 x 226 ) / 1356

= 12 / 226

= 12


Step3:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2


So, Greatest Common Divisor of 996, 660, 226, 150 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 660, 226, 150

Given numbers are 996, 660, 226, 150
The greatest common divisor of numbers 996, 660, 226, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 660, 226, 150 is 2.

FAQs on GCD of 996, 660, 226, 150 Calculator

1. What is the GCD of 996, 660, 226, 150?

GCD of given numbers 996, 660, 226, 150 is 2


2. How to calculate the greatest common divisor of 996, 660, 226, 150?

We can find the highest common divisor of 996, 660, 226, 150 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, 660, 226, 150 i.e 2.


3. How can I use the GCD of 996, 660, 226, 150Calculator?

Out the numbers 996, 660, 226, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.