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 852, 614, 148, 332 Calculator

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


Online GCD Calculator is useful to find the GCD of 852, 614, 148, 332 quickly. Get the easiest ways to solve the greatest common divisor of 852, 614, 148, 332 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 852, 614, 148, 332 with Factoring?

Given Input numbers are 852, 614, 148, 332

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 332 :

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

1, 2, 4, 83, 166, 332


GCD of numbers is the greatest common divisor

So, the GCD (852, 614, 148, 332) = 2.

Find GCD of 852, 614, 148, 332 using Prime Factorization

Given numbers are 852, 614, 148, 332

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 614 are 2 x 307

Prime factors of 148 are 2 x 2 x 37

Prime factors of 332 are 2 x 2 x 83

The highest common occurrence is 21

Therefore, GCD of 852, 614, 148, 332 is 2.

Steps to Calculate GCD of 852, 614, 148, 332 using LCM Formula

Given numbers are 852, 614, 148, 332

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

Apply this formula for all numbers.

Step1:

LCM(852, 614) = 261564

GCD(852, 614) = ( 852 x 614 ) / 261564

= 852 / 614

= 852


Step2:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2


Step3:

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

= 2 / 332

= 2


So, Greatest Common Divisor of 852, 614, 148, 332 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 852, 614, 148, 332

Given numbers are 852, 614, 148, 332
The greatest common divisor of numbers 852, 614, 148, 332 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 614, 148, 332 is 2.

FAQs on GCD of 852, 614, 148, 332 Calculator

1. What is the GCD of 852, 614, 148, 332?

GCD of given numbers 852, 614, 148, 332 is 2


2. How to calculate the greatest common divisor of 852, 614, 148, 332?

We can find the highest common divisor of 852, 614, 148, 332 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 852, 614, 148, 332 i.e 2.


3. How can I use the GCD of 852, 614, 148, 332Calculator?

Out the numbers 852, 614, 148, 332 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.