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GCD of 155, 510, 505 Calculator

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


Online GCD Calculator is useful to find the GCD of 155, 510, 505 quickly. Get the easiest ways to solve the greatest common divisor of 155, 510, 505 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 155, 510, 505 with Factoring?

Given Input numbers are 155, 510, 505

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

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505


GCD of numbers is the greatest common divisor

So, the GCD (155, 510, 505) = 5.

Find GCD of 155, 510, 505 using Prime Factorization

Given numbers are 155, 510, 505

The list of prime factors of all numbers are

Prime factors of 155 are 5 x 31

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 505 are 5 x 101

The highest common occurrence is 51

Therefore, GCD of 155, 510, 505 is 5.

Steps to Calculate GCD of 155, 510, 505 using LCM Formula

Given numbers are 155, 510, 505

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

Apply this formula for all numbers.

Step1:

LCM(155, 510) = 15810

GCD(155, 510) = ( 155 x 510 ) / 15810

= 155 / 510

= 155


Step2:

LCM(5, 505) = 505

GCD(5, 505) = ( 5 x 505 ) / 505

= 5 / 505

= 5


So, Greatest Common Divisor of 155, 510, 505 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 155, 510, 505

Given numbers are 155, 510, 505
The greatest common divisor of numbers 155, 510, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 155, 510, 505 is 5.

FAQs on GCD of 155, 510, 505 Calculator

1. What is the GCD of 155, 510, 505?

GCD of given numbers 155, 510, 505 is 5


2. How to calculate the greatest common divisor of 155, 510, 505?

We can find the highest common divisor of 155, 510, 505 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 155, 510, 505 i.e 5.


3. How can I use the GCD of 155, 510, 505Calculator?

Out the numbers 155, 510, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.