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GCD of 265, 655, 775 Calculator

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


Online GCD Calculator is useful to find the GCD of 265, 655, 775 quickly. Get the easiest ways to solve the greatest common divisor of 265, 655, 775 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 265, 655, 775 with Factoring?

Given Input numbers are 265, 655, 775

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

Divisors of 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775


GCD of numbers is the greatest common divisor

So, the GCD (265, 655, 775) = 5.

Find GCD of 265, 655, 775 using Prime Factorization

Given numbers are 265, 655, 775

The list of prime factors of all numbers are

Prime factors of 265 are 5 x 53

Prime factors of 655 are 5 x 131

Prime factors of 775 are 5 x 5 x 31

The highest common occurrence is 51

Therefore, GCD of 265, 655, 775 is 5.

Steps to Calculate GCD of 265, 655, 775 using LCM Formula

Given numbers are 265, 655, 775

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

Apply this formula for all numbers.

Step1:

LCM(265, 655) = 34715

GCD(265, 655) = ( 265 x 655 ) / 34715

= 265 / 655

= 265


Step2:

LCM(5, 775) = 775

GCD(5, 775) = ( 5 x 775 ) / 775

= 5 / 775

= 5


So, Greatest Common Divisor of 265, 655, 775 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 265, 655, 775

Given numbers are 265, 655, 775
The greatest common divisor of numbers 265, 655, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 265, 655, 775 is 5.

FAQs on GCD of 265, 655, 775 Calculator

1. What is the GCD of 265, 655, 775?

GCD of given numbers 265, 655, 775 is 5


2. How to calculate the greatest common divisor of 265, 655, 775?

We can find the highest common divisor of 265, 655, 775 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 265, 655, 775 i.e 5.


3. How can I use the GCD of 265, 655, 775Calculator?

Out the numbers 265, 655, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.