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GCD of 196, 304, 132, 956 Calculator

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


Online GCD Calculator is useful to find the GCD of 196, 304, 132, 956 quickly. Get the easiest ways to solve the greatest common divisor of 196, 304, 132, 956 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 196, 304, 132, 956 with Factoring?

Given Input numbers are 196, 304, 132, 956

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956


GCD of numbers is the greatest common divisor

So, the GCD (196, 304, 132, 956) = 4.

Find GCD of 196, 304, 132, 956 using Prime Factorization

Given numbers are 196, 304, 132, 956

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 956 are 2 x 2 x 239

The highest common occurrence is 22

Therefore, GCD of 196, 304, 132, 956 is 4.

Steps to Calculate GCD of 196, 304, 132, 956 using LCM Formula

Given numbers are 196, 304, 132, 956

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

Apply this formula for all numbers.

Step1:

LCM(196, 304) = 14896

GCD(196, 304) = ( 196 x 304 ) / 14896

= 196 / 304

= 196


Step2:

LCM(4, 132) = 132

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

= 4 / 132

= 4


Step3:

LCM(4, 956) = 956

GCD(4, 956) = ( 4 x 956 ) / 956

= 4 / 956

= 4


So, Greatest Common Divisor of 196, 304, 132, 956 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 196, 304, 132, 956

Given numbers are 196, 304, 132, 956
The greatest common divisor of numbers 196, 304, 132, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 304, 132, 956 is 4.

FAQs on GCD of 196, 304, 132, 956 Calculator

1. What is the GCD of 196, 304, 132, 956?

GCD of given numbers 196, 304, 132, 956 is 4


2. How to calculate the greatest common divisor of 196, 304, 132, 956?

We can find the highest common divisor of 196, 304, 132, 956 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 196, 304, 132, 956 i.e 4.


3. How can I use the GCD of 196, 304, 132, 956Calculator?

Out the numbers 196, 304, 132, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.