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GCD of 460, 370, 27, 103 Calculator

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


Online GCD Calculator is useful to find the GCD of 460, 370, 27, 103 quickly. Get the easiest ways to solve the greatest common divisor of 460, 370, 27, 103 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 460, 370, 27, 103 with Factoring?

Given Input numbers are 460, 370, 27, 103

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103


GCD of numbers is the greatest common divisor

So, the GCD (460, 370, 27, 103) = 1.

Find GCD of 460, 370, 27, 103 using Prime Factorization

Given numbers are 460, 370, 27, 103

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 370 are 2 x 5 x 37

Prime factors of 27 are 3 x 3 x 3

Prime factors of 103 are 103

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

Steps to Calculate GCD of 460, 370, 27, 103 using LCM Formula

Given numbers are 460, 370, 27, 103

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

Apply this formula for all numbers.

Step1:

LCM(460, 370) = 17020

GCD(460, 370) = ( 460 x 370 ) / 17020

= 460 / 370

= 460


Step2:

LCM(10, 27) = 270

GCD(10, 27) = ( 10 x 27 ) / 270

= 10 / 27

= 10


Step3:

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

= 1 / 103

= 1


So, Greatest Common Divisor of 460, 370, 27, 103 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 460, 370, 27, 103

Given numbers are 460, 370, 27, 103
The greatest common divisor of numbers 460, 370, 27, 103 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 370, 27, 103 is 1.

FAQs on GCD of 460, 370, 27, 103 Calculator

1. What is the GCD of 460, 370, 27, 103?

GCD of given numbers 460, 370, 27, 103 is 1


2. How to calculate the greatest common divisor of 460, 370, 27, 103?

We can find the highest common divisor of 460, 370, 27, 103 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 460, 370, 27, 103 i.e 1.


3. How can I use the GCD of 460, 370, 27, 103Calculator?

Out the numbers 460, 370, 27, 103 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.