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 902, 396, 782, 336 Calculator

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


Online GCD Calculator is useful to find the GCD of 902, 396, 782, 336 quickly. Get the easiest ways to solve the greatest common divisor of 902, 396, 782, 336 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 902, 396, 782, 336 with Factoring?

Given Input numbers are 902, 396, 782, 336

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336


GCD of numbers is the greatest common divisor

So, the GCD (902, 396, 782, 336) = 2.

Find GCD of 902, 396, 782, 336 using Prime Factorization

Given numbers are 902, 396, 782, 336

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 782 are 2 x 17 x 23

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 902, 396, 782, 336 is 2.

Steps to Calculate GCD of 902, 396, 782, 336 using LCM Formula

Given numbers are 902, 396, 782, 336

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

Apply this formula for all numbers.

Step1:

LCM(902, 396) = 16236

GCD(902, 396) = ( 902 x 396 ) / 16236

= 902 / 396

= 902


Step2:

LCM(22, 782) = 8602

GCD(22, 782) = ( 22 x 782 ) / 8602

= 22 / 782

= 22


Step3:

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

= 2 / 336

= 2


So, Greatest Common Divisor of 902, 396, 782, 336 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 902, 396, 782, 336

Given numbers are 902, 396, 782, 336
The greatest common divisor of numbers 902, 396, 782, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 396, 782, 336 is 2.

FAQs on GCD of 902, 396, 782, 336 Calculator

1. What is the GCD of 902, 396, 782, 336?

GCD of given numbers 902, 396, 782, 336 is 2


2. How to calculate the greatest common divisor of 902, 396, 782, 336?

We can find the highest common divisor of 902, 396, 782, 336 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 902, 396, 782, 336 i.e 2.


3. How can I use the GCD of 902, 396, 782, 336Calculator?

Out the numbers 902, 396, 782, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.