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GCD of 864, 526, 398, 135 Calculator

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


Online GCD Calculator is useful to find the GCD of 864, 526, 398, 135 quickly. Get the easiest ways to solve the greatest common divisor of 864, 526, 398, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 864, 526, 398, 135 with Factoring?

Given Input numbers are 864, 526, 398, 135

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 135 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (864, 526, 398, 135) = 1.

Find GCD of 864, 526, 398, 135 using Prime Factorization

Given numbers are 864, 526, 398, 135

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 526 are 2 x 263

Prime factors of 398 are 2 x 199

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

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

Steps to Calculate GCD of 864, 526, 398, 135 using LCM Formula

Given numbers are 864, 526, 398, 135

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

Apply this formula for all numbers.

Step1:

LCM(864, 526) = 227232

GCD(864, 526) = ( 864 x 526 ) / 227232

= 864 / 526

= 864


Step2:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2


Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2


So, Greatest Common Divisor of 864, 526, 398, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 864, 526, 398, 135

Given numbers are 864, 526, 398, 135
The greatest common divisor of numbers 864, 526, 398, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 526, 398, 135 is 1.

FAQs on GCD of 864, 526, 398, 135 Calculator

1. What is the GCD of 864, 526, 398, 135?

GCD of given numbers 864, 526, 398, 135 is 1


2. How to calculate the greatest common divisor of 864, 526, 398, 135?

We can find the highest common divisor of 864, 526, 398, 135 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 864, 526, 398, 135 i.e 1.


3. How can I use the GCD of 864, 526, 398, 135Calculator?

Out the numbers 864, 526, 398, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.