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GCD of 758, 384, 162, 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 758, 384, 162, 336 quickly. Get the easiest ways to solve the greatest common divisor of 758, 384, 162, 336 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 758, 384, 162, 336 with Factoring?

Given Input numbers are 758, 384, 162, 336

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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 (758, 384, 162, 336) = 2.

Find GCD of 758, 384, 162, 336 using Prime Factorization

Given numbers are 758, 384, 162, 336

The list of prime factors of all numbers are

Prime factors of 758 are 2 x 379

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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 758, 384, 162, 336 is 2.

Steps to Calculate GCD of 758, 384, 162, 336 using LCM Formula

Given numbers are 758, 384, 162, 336

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

Apply this formula for all numbers.

Step1:

LCM(758, 384) = 145536

GCD(758, 384) = ( 758 x 384 ) / 145536

= 758 / 384

= 758


Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2


Step3:

LCM(2, 336) = 336

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

= 2 / 336

= 2


So, Greatest Common Divisor of 758, 384, 162, 336 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 758, 384, 162, 336

Given numbers are 758, 384, 162, 336
The greatest common divisor of numbers 758, 384, 162, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 384, 162, 336 is 2.

FAQs on GCD of 758, 384, 162, 336 Calculator

1. What is the GCD of 758, 384, 162, 336?

GCD of given numbers 758, 384, 162, 336 is 2


2. How to calculate the greatest common divisor of 758, 384, 162, 336?

We can find the highest common divisor of 758, 384, 162, 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 758, 384, 162, 336 i.e 2.


3. How can I use the GCD of 758, 384, 162, 336Calculator?

Out the numbers 758, 384, 162, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.