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GCD of 332, 254, 872, 152 Calculator

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


Online GCD Calculator is useful to find the GCD of 332, 254, 872, 152 quickly. Get the easiest ways to solve the greatest common divisor of 332, 254, 872, 152 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 332, 254, 872, 152 with Factoring?

Given Input numbers are 332, 254, 872, 152

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

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (332, 254, 872, 152) = 2.

Find GCD of 332, 254, 872, 152 using Prime Factorization

Given numbers are 332, 254, 872, 152

The list of prime factors of all numbers are

Prime factors of 332 are 2 x 2 x 83

Prime factors of 254 are 2 x 127

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 152 are 2 x 2 x 2 x 19

The highest common occurrence is 21

Therefore, GCD of 332, 254, 872, 152 is 2.

Steps to Calculate GCD of 332, 254, 872, 152 using LCM Formula

Given numbers are 332, 254, 872, 152

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

Apply this formula for all numbers.

Step1:

LCM(332, 254) = 42164

GCD(332, 254) = ( 332 x 254 ) / 42164

= 332 / 254

= 332


Step2:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2


Step3:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2


So, Greatest Common Divisor of 332, 254, 872, 152 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 332, 254, 872, 152

Given numbers are 332, 254, 872, 152
The greatest common divisor of numbers 332, 254, 872, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 332, 254, 872, 152 is 2.

FAQs on GCD of 332, 254, 872, 152 Calculator

1. What is the GCD of 332, 254, 872, 152?

GCD of given numbers 332, 254, 872, 152 is 2


2. How to calculate the greatest common divisor of 332, 254, 872, 152?

We can find the highest common divisor of 332, 254, 872, 152 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 332, 254, 872, 152 i.e 2.


3. How can I use the GCD of 332, 254, 872, 152Calculator?

Out the numbers 332, 254, 872, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.