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GCD of 270, 106, 493, 650 Calculator

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


Online GCD Calculator is useful to find the GCD of 270, 106, 493, 650 quickly. Get the easiest ways to solve the greatest common divisor of 270, 106, 493, 650 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 270, 106, 493, 650 with Factoring?

Given Input numbers are 270, 106, 493, 650

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

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

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


GCD of numbers is the greatest common divisor

So, the GCD (270, 106, 493, 650) = 1.

Find GCD of 270, 106, 493, 650 using Prime Factorization

Given numbers are 270, 106, 493, 650

The list of prime factors of all numbers are

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

Prime factors of 106 are 2 x 53

Prime factors of 493 are 17 x 29

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

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

Steps to Calculate GCD of 270, 106, 493, 650 using LCM Formula

Given numbers are 270, 106, 493, 650

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

Apply this formula for all numbers.

Step1:

LCM(270, 106) = 14310

GCD(270, 106) = ( 270 x 106 ) / 14310

= 270 / 106

= 270


Step2:

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

= 2 / 493

= 2


Step3:

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

= 1 / 650

= 1


So, Greatest Common Divisor of 270, 106, 493, 650 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 270, 106, 493, 650

Given numbers are 270, 106, 493, 650
The greatest common divisor of numbers 270, 106, 493, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 106, 493, 650 is 1.

FAQs on GCD of 270, 106, 493, 650 Calculator

1. What is the GCD of 270, 106, 493, 650?

GCD of given numbers 270, 106, 493, 650 is 1


2. How to calculate the greatest common divisor of 270, 106, 493, 650?

We can find the highest common divisor of 270, 106, 493, 650 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 270, 106, 493, 650 i.e 1.


3. How can I use the GCD of 270, 106, 493, 650Calculator?

Out the numbers 270, 106, 493, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.