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GCD of 196, 120, 14 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, 120, 14 quickly. Get the easiest ways to solve the greatest common divisor of 196, 120, 14 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 196, 120, 14 with Factoring?

Given Input numbers are 196, 120, 14

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14


GCD of numbers is the greatest common divisor

So, the GCD (196, 120, 14) = 2.

Find GCD of 196, 120, 14 using Prime Factorization

Given numbers are 196, 120, 14

The list of prime factors of all numbers are

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 14 are 2 x 7

The highest common occurrence is 21

Therefore, GCD of 196, 120, 14 is 2.

Steps to Calculate GCD of 196, 120, 14 using LCM Formula

Given numbers are 196, 120, 14

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

Apply this formula for all numbers.

Step1:

LCM(196, 120) = 5880

GCD(196, 120) = ( 196 x 120 ) / 5880

= 196 / 120

= 196


Step2:

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

= 4 / 14

= 4


So, Greatest Common Divisor of 196, 120, 14 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 196, 120, 14

Given numbers are 196, 120, 14
The greatest common divisor of numbers 196, 120, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 120, 14 is 2.

FAQs on GCD of 196, 120, 14 Calculator

1. What is the GCD of 196, 120, 14?

GCD of given numbers 196, 120, 14 is 2


2. How to calculate the greatest common divisor of 196, 120, 14?

We can find the highest common divisor of 196, 120, 14 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, 120, 14 i.e 2.


3. How can I use the GCD of 196, 120, 14Calculator?

Out the numbers 196, 120, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.