Greatest Common Factor of 1909/46, 3108/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1909/46, 3108/457

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1909/46,3108/457

Given fractions are 1909/46,3108/457

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1909,3108

Greatest Common Factor of Numerators i.e. GCF of 1909,3108 is 1 .

LCM of Denominators means LCM of 46,457 as per the given fractions.

LCM of 46,457 is 21022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1909,3108

GCF of Fractions 1909/46,3108/457 is 1/21022

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1909,3108 By Matching Biggest Common Factor Method

Greatest Common Factor of 1909,3108 By Matching Biggest Common Factor Method

Factors of 1909

List of positive integer factors of 1909 that divides 1909 without a remainder.

1,23,83,1909

Factors of 3108

List of positive integer factors of 3108 that divides 3108 without a remainder.

1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108

Greatest Common Factor

We found the factors 1909,3108 . The biggest common factor number is the GCF number.
So the greatest common factor 1909,3108 is 1.

Lets's calculate LCM of 46,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 21022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21022

Therefore, the GCF of Fractions 1909/46,3108/457 is 1/21022

Least Common Multiple of 46,457 with GCF Formula

Least Common Multiple of 46,457 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 46,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,457) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(46,457) x common factors =1 x 1 = 1

LCM(46,457) = ( 46 × 457 ) / 1

LCM(46,457) = 21022 / 1

LCM(46,457) = 21022


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1909/46, 3108/457

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 1909/46, 3108/457?

Answer: GCF of Numerators as per given numbers 1909/46, 3108/457 is

GCF of Numerators i.e. for 1909,3108 is 1

LCM of denominators i.e. for 46,457 is 21022.

Thus, GCF of Fractions is 1/21022.Finally, GCF of Fractions for 1909/46, 3108/457 is 1/21022.