Greatest Common Factor of 4305/58, 9917/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4305/58, 9917/428

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 4305/58,9917/428

Given fractions are 4305/58,9917/428

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 4305,9917

Greatest Common Factor of Numerators i.e. GCF of 4305,9917 is 1 .

LCM of Denominators means LCM of 58,428 as per the given fractions.

LCM of 58,428 is 12412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4305,9917

GCF of Fractions 4305/58,9917/428 is 1/12412

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

Greatest Common Factor of 4305,9917 By Matching Biggest Common Factor Method

Greatest Common Factor of 4305,9917 By Matching Biggest Common Factor Method

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305

Factors of 9917

List of positive integer factors of 9917 that divides 9917 without a remainder.

1,47,211,9917

Greatest Common Factor

We found the factors 4305,9917 . The biggest common factor number is the GCF number.
So the greatest common factor 4305,9917 is 1.

Lets's calculate LCM of 58,428

2 58, 428
29, 214

∴ So the LCM of the given numbers is 2 x 29 x 214 = 12412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12412

Therefore, the GCF of Fractions 4305/58,9917/428 is 1/12412

Least Common Multiple of 58,428 with GCF Formula

Least Common Multiple of 58,428 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 58,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,428) = 2

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

GCF(58,428) x common factors =2 x 1 = 2

LCM(58,428) = ( 58 × 428 ) / 2

LCM(58,428) = 24824 / 2

LCM(58,428) = 12412


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 4305/58, 9917/428

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 4305/58, 9917/428?

Answer: GCF of Numerators as per given numbers 4305/58, 9917/428 is

GCF of Numerators i.e. for 4305,9917 is 1

LCM of denominators i.e. for 58,428 is 12412.

Thus, GCF of Fractions is 1/12412.Finally, GCF of Fractions for 4305/58, 9917/428 is 1/12412.