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GCD of 135, 235, 424, 824 Calculator

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


Online GCD Calculator is useful to find the GCD of 135, 235, 424, 824 quickly. Get the easiest ways to solve the greatest common divisor of 135, 235, 424, 824 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 135, 235, 424, 824 with Factoring?

Given Input numbers are 135, 235, 424, 824

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

Divisors of 135 :

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

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

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824


GCD of numbers is the greatest common divisor

So, the GCD (135, 235, 424, 824) = 1.

Find GCD of 135, 235, 424, 824 using Prime Factorization

Given numbers are 135, 235, 424, 824

The list of prime factors of all numbers are

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

Prime factors of 235 are 5 x 47

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 824 are 2 x 2 x 2 x 103

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

Steps to Calculate GCD of 135, 235, 424, 824 using LCM Formula

Given numbers are 135, 235, 424, 824

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

Apply this formula for all numbers.

Step1:

LCM(135, 235) = 6345

GCD(135, 235) = ( 135 x 235 ) / 6345

= 135 / 235

= 135


Step2:

LCM(5, 424) = 2120

GCD(5, 424) = ( 5 x 424 ) / 2120

= 5 / 424

= 5


Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1


So, Greatest Common Divisor of 135, 235, 424, 824 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 135, 235, 424, 824

Given numbers are 135, 235, 424, 824
The greatest common divisor of numbers 135, 235, 424, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 235, 424, 824 is 1.

FAQs on GCD of 135, 235, 424, 824 Calculator

1. What is the GCD of 135, 235, 424, 824?

GCD of given numbers 135, 235, 424, 824 is 1


2. How to calculate the greatest common divisor of 135, 235, 424, 824?

We can find the highest common divisor of 135, 235, 424, 824 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 135, 235, 424, 824 i.e 1.


3. How can I use the GCD of 135, 235, 424, 824Calculator?

Out the numbers 135, 235, 424, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.