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GCD of 735, 240, 796, 328 Calculator

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


Online GCD Calculator is useful to find the GCD of 735, 240, 796, 328 quickly. Get the easiest ways to solve the greatest common divisor of 735, 240, 796, 328 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 735, 240, 796, 328 with Factoring?

Given Input numbers are 735, 240, 796, 328

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328


GCD of numbers is the greatest common divisor

So, the GCD (735, 240, 796, 328) = 1.

Find GCD of 735, 240, 796, 328 using Prime Factorization

Given numbers are 735, 240, 796, 328

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 796 are 2 x 2 x 199

Prime factors of 328 are 2 x 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 735, 240, 796, 328 using LCM Formula

Given numbers are 735, 240, 796, 328

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

Apply this formula for all numbers.

Step1:

LCM(735, 240) = 11760

GCD(735, 240) = ( 735 x 240 ) / 11760

= 735 / 240

= 735


Step2:

LCM(15, 796) = 11940

GCD(15, 796) = ( 15 x 796 ) / 11940

= 15 / 796

= 15


Step3:

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

= 1 / 328

= 1


So, Greatest Common Divisor of 735, 240, 796, 328 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 735, 240, 796, 328

Given numbers are 735, 240, 796, 328
The greatest common divisor of numbers 735, 240, 796, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 240, 796, 328 is 1.

FAQs on GCD of 735, 240, 796, 328 Calculator

1. What is the GCD of 735, 240, 796, 328?

GCD of given numbers 735, 240, 796, 328 is 1


2. How to calculate the greatest common divisor of 735, 240, 796, 328?

We can find the highest common divisor of 735, 240, 796, 328 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 735, 240, 796, 328 i.e 1.


3. How can I use the GCD of 735, 240, 796, 328Calculator?

Out the numbers 735, 240, 796, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.