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 732, 466, 258, 252 Calculator

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


Online GCD Calculator is useful to find the GCD of 732, 466, 258, 252 quickly. Get the easiest ways to solve the greatest common divisor of 732, 466, 258, 252 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 732, 466, 258, 252 with Factoring?

Given Input numbers are 732, 466, 258, 252

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252


GCD of numbers is the greatest common divisor

So, the GCD (732, 466, 258, 252) = 2.

Find GCD of 732, 466, 258, 252 using Prime Factorization

Given numbers are 732, 466, 258, 252

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 466 are 2 x 233

Prime factors of 258 are 2 x 3 x 43

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 732, 466, 258, 252 is 2.

Steps to Calculate GCD of 732, 466, 258, 252 using LCM Formula

Given numbers are 732, 466, 258, 252

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

Apply this formula for all numbers.

Step1:

LCM(732, 466) = 170556

GCD(732, 466) = ( 732 x 466 ) / 170556

= 732 / 466

= 732


Step2:

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

= 2 / 258

= 2


Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2


So, Greatest Common Divisor of 732, 466, 258, 252 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 732, 466, 258, 252

Given numbers are 732, 466, 258, 252
The greatest common divisor of numbers 732, 466, 258, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 466, 258, 252 is 2.

FAQs on GCD of 732, 466, 258, 252 Calculator

1. What is the GCD of 732, 466, 258, 252?

GCD of given numbers 732, 466, 258, 252 is 2


2. How to calculate the greatest common divisor of 732, 466, 258, 252?

We can find the highest common divisor of 732, 466, 258, 252 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 732, 466, 258, 252 i.e 2.


3. How can I use the GCD of 732, 466, 258, 252Calculator?

Out the numbers 732, 466, 258, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.