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GCD of 125, 495, 269, 365 Calculator

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


Online GCD Calculator is useful to find the GCD of 125, 495, 269, 365 quickly. Get the easiest ways to solve the greatest common divisor of 125, 495, 269, 365 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 125, 495, 269, 365 with Factoring?

Given Input numbers are 125, 495, 269, 365

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

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365


GCD of numbers is the greatest common divisor

So, the GCD (125, 495, 269, 365) = 1.

Find GCD of 125, 495, 269, 365 using Prime Factorization

Given numbers are 125, 495, 269, 365

The list of prime factors of all numbers are

Prime factors of 125 are 5 x 5 x 5

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 269 are 269

Prime factors of 365 are 5 x 73

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

Steps to Calculate GCD of 125, 495, 269, 365 using LCM Formula

Given numbers are 125, 495, 269, 365

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

Apply this formula for all numbers.

Step1:

LCM(125, 495) = 12375

GCD(125, 495) = ( 125 x 495 ) / 12375

= 125 / 495

= 125


Step2:

LCM(5, 269) = 1345

GCD(5, 269) = ( 5 x 269 ) / 1345

= 5 / 269

= 5


Step3:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1


So, Greatest Common Divisor of 125, 495, 269, 365 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 125, 495, 269, 365

Given numbers are 125, 495, 269, 365
The greatest common divisor of numbers 125, 495, 269, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 495, 269, 365 is 1.

FAQs on GCD of 125, 495, 269, 365 Calculator

1. What is the GCD of 125, 495, 269, 365?

GCD of given numbers 125, 495, 269, 365 is 1


2. How to calculate the greatest common divisor of 125, 495, 269, 365?

We can find the highest common divisor of 125, 495, 269, 365 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 125, 495, 269, 365 i.e 1.


3. How can I use the GCD of 125, 495, 269, 365Calculator?

Out the numbers 125, 495, 269, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.