LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 144, 212, 952 Calculator

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


Online GCD Calculator is useful to find the GCD of 144, 212, 952 quickly. Get the easiest ways to solve the greatest common divisor of 144, 212, 952 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 212, 952 with Factoring?

Given Input numbers are 144, 212, 952

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952


GCD of numbers is the greatest common divisor

So, the GCD (144, 212, 952) = 4.

Find GCD of 144, 212, 952 using Prime Factorization

Given numbers are 144, 212, 952

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 212 are 2 x 2 x 53

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 22

Therefore, GCD of 144, 212, 952 is 4.

Steps to Calculate GCD of 144, 212, 952 using LCM Formula

Given numbers are 144, 212, 952

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

Apply this formula for all numbers.

Step1:

LCM(144, 212) = 7632

GCD(144, 212) = ( 144 x 212 ) / 7632

= 144 / 212

= 144


Step2:

LCM(4, 952) = 952

GCD(4, 952) = ( 4 x 952 ) / 952

= 4 / 952

= 4


So, Greatest Common Divisor of 144, 212, 952 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 212, 952

Given numbers are 144, 212, 952
The greatest common divisor of numbers 144, 212, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 212, 952 is 4.

FAQs on GCD of 144, 212, 952 Calculator

1. What is the GCD of 144, 212, 952?

GCD of given numbers 144, 212, 952 is 4


2. How to calculate the greatest common divisor of 144, 212, 952?

We can find the highest common divisor of 144, 212, 952 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 144, 212, 952 i.e 4.


3. How can I use the GCD of 144, 212, 952Calculator?

Out the numbers 144, 212, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.