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GCD of 828, 135, 311, 595 Calculator

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


Online GCD Calculator is useful to find the GCD of 828, 135, 311, 595 quickly. Get the easiest ways to solve the greatest common divisor of 828, 135, 311, 595 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 828, 135, 311, 595 with Factoring?

Given Input numbers are 828, 135, 311, 595

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595


GCD of numbers is the greatest common divisor

So, the GCD (828, 135, 311, 595) = 1.

Find GCD of 828, 135, 311, 595 using Prime Factorization

Given numbers are 828, 135, 311, 595

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 311 are 311

Prime factors of 595 are 5 x 7 x 17

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

Steps to Calculate GCD of 828, 135, 311, 595 using LCM Formula

Given numbers are 828, 135, 311, 595

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

Apply this formula for all numbers.

Step1:

LCM(828, 135) = 12420

GCD(828, 135) = ( 828 x 135 ) / 12420

= 828 / 135

= 828


Step2:

LCM(9, 311) = 2799

GCD(9, 311) = ( 9 x 311 ) / 2799

= 9 / 311

= 9


Step3:

LCM(1, 595) = 595

GCD(1, 595) = ( 1 x 595 ) / 595

= 1 / 595

= 1


So, Greatest Common Divisor of 828, 135, 311, 595 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 828, 135, 311, 595

Given numbers are 828, 135, 311, 595
The greatest common divisor of numbers 828, 135, 311, 595 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 135, 311, 595 is 1.

FAQs on GCD of 828, 135, 311, 595 Calculator

1. What is the GCD of 828, 135, 311, 595?

GCD of given numbers 828, 135, 311, 595 is 1


2. How to calculate the greatest common divisor of 828, 135, 311, 595?

We can find the highest common divisor of 828, 135, 311, 595 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 828, 135, 311, 595 i.e 1.


3. How can I use the GCD of 828, 135, 311, 595Calculator?

Out the numbers 828, 135, 311, 595 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.