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GCD of 410, 650, 270 Calculator

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


Online GCD Calculator is useful to find the GCD of 410, 650, 270 quickly. Get the easiest ways to solve the greatest common divisor of 410, 650, 270 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 410, 650, 270 with Factoring?

Given Input numbers are 410, 650, 270

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

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270


GCD of numbers is the greatest common divisor

So, the GCD (410, 650, 270) = 10.

Find GCD of 410, 650, 270 using Prime Factorization

Given numbers are 410, 650, 270

The list of prime factors of all numbers are

Prime factors of 410 are 2 x 5 x 41

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 21 x 51

Therefore, GCD of 410, 650, 270 is 10.

Steps to Calculate GCD of 410, 650, 270 using LCM Formula

Given numbers are 410, 650, 270

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

Apply this formula for all numbers.

Step1:

LCM(410, 650) = 26650

GCD(410, 650) = ( 410 x 650 ) / 26650

= 410 / 650

= 410


Step2:

LCM(10, 270) = 270

GCD(10, 270) = ( 10 x 270 ) / 270

= 10 / 270

= 10


So, Greatest Common Divisor of 410, 650, 270 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 410, 650, 270

Given numbers are 410, 650, 270
The greatest common divisor of numbers 410, 650, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 410, 650, 270 is 10.

FAQs on GCD of 410, 650, 270 Calculator

1. What is the GCD of 410, 650, 270?

GCD of given numbers 410, 650, 270 is 10


2. How to calculate the greatest common divisor of 410, 650, 270?

We can find the highest common divisor of 410, 650, 270 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 410, 650, 270 i.e 10.


3. How can I use the GCD of 410, 650, 270Calculator?

Out the numbers 410, 650, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.