Greatest Common Factor of 9898/438, 5227/4967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9898/438, 5227/4967

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 9898/438,5227/4967

Given fractions are 9898/438,5227/4967

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 9898,5227

Greatest Common Factor of Numerators i.e. GCF of 9898,5227 is 1 .

LCM of Denominators means LCM of 438,4967 as per the given fractions.

LCM of 438,4967 is 2175546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9898,5227

GCF of Fractions 9898/438,5227/4967 is 1/2175546

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

Greatest Common Factor of 9898,5227 By Matching Biggest Common Factor Method

Greatest Common Factor of 9898,5227 By Matching Biggest Common Factor Method

Factors of 9898

List of positive integer factors of 9898 that divides 9898 without a remainder.

1,2,7,14,49,98,101,202,707,1414,4949,9898

Factors of 5227

List of positive integer factors of 5227 that divides 5227 without a remainder.

1,5227

Greatest Common Factor

We found the factors 9898,5227 . The biggest common factor number is the GCF number.
So the greatest common factor 9898,5227 is 1.

Lets's calculate LCM of 438,4967

Given numbers has no common factors except 1. So, there LCM is their product i.e 2175546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2175546

Therefore, the GCF of Fractions 9898/438,5227/4967 is 1/2175546

Least Common Multiple of 438,4967 with GCF Formula

Least Common Multiple of 438,4967 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 438,4967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,4967) = 1

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

GCF(438,4967) x common factors =1 x 1 = 1

LCM(438,4967) = ( 438 × 4967 ) / 1

LCM(438,4967) = 2175546 / 1

LCM(438,4967) = 2175546


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 9898/438, 5227/4967

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 9898/438, 5227/4967?

Answer: GCF of Numerators as per given numbers 9898/438, 5227/4967 is

GCF of Numerators i.e. for 9898,5227 is 1

LCM of denominators i.e. for 438,4967 is 2175546.

Thus, GCF of Fractions is 1/2175546.Finally, GCF of Fractions for 9898/438, 5227/4967 is 1/2175546.