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GCD of 255, 500, 135, 964 Calculator

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


Online GCD Calculator is useful to find the GCD of 255, 500, 135, 964 quickly. Get the easiest ways to solve the greatest common divisor of 255, 500, 135, 964 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 255, 500, 135, 964 with Factoring?

Given Input numbers are 255, 500, 135, 964

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

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 135 :

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

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

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964


GCD of numbers is the greatest common divisor

So, the GCD (255, 500, 135, 964) = 1.

Find GCD of 255, 500, 135, 964 using Prime Factorization

Given numbers are 255, 500, 135, 964

The list of prime factors of all numbers are

Prime factors of 255 are 3 x 5 x 17

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Prime factors of 964 are 2 x 2 x 241

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

Steps to Calculate GCD of 255, 500, 135, 964 using LCM Formula

Given numbers are 255, 500, 135, 964

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

Apply this formula for all numbers.

Step1:

LCM(255, 500) = 25500

GCD(255, 500) = ( 255 x 500 ) / 25500

= 255 / 500

= 255


Step2:

LCM(5, 135) = 135

GCD(5, 135) = ( 5 x 135 ) / 135

= 5 / 135

= 5


Step3:

LCM(5, 964) = 4820

GCD(5, 964) = ( 5 x 964 ) / 4820

= 5 / 964

= 5


So, Greatest Common Divisor of 255, 500, 135, 964 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 255, 500, 135, 964

Given numbers are 255, 500, 135, 964
The greatest common divisor of numbers 255, 500, 135, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 500, 135, 964 is 1.

FAQs on GCD of 255, 500, 135, 964 Calculator

1. What is the GCD of 255, 500, 135, 964?

GCD of given numbers 255, 500, 135, 964 is 1


2. How to calculate the greatest common divisor of 255, 500, 135, 964?

We can find the highest common divisor of 255, 500, 135, 964 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 255, 500, 135, 964 i.e 1.


3. How can I use the GCD of 255, 500, 135, 964Calculator?

Out the numbers 255, 500, 135, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.