Greatest Common Factor of 9921/425, 4195/5117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9921/425, 4195/5117

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 9921/425,4195/5117

Given fractions are 9921/425,4195/5117

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 9921,4195

Greatest Common Factor of Numerators i.e. GCF of 9921,4195 is 1 .

LCM of Denominators means LCM of 425,5117 as per the given fractions.

LCM of 425,5117 is 127925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9921,4195

GCF of Fractions 9921/425,4195/5117 is 1/127925

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

Greatest Common Factor of 9921,4195 By Matching Biggest Common Factor Method

Greatest Common Factor of 9921,4195 By Matching Biggest Common Factor Method

Factors of 9921

List of positive integer factors of 9921 that divides 9921 without a remainder.

1,3,3307,9921

Factors of 4195

List of positive integer factors of 4195 that divides 4195 without a remainder.

1,5,839,4195

Greatest Common Factor

We found the factors 9921,4195 . The biggest common factor number is the GCF number.
So the greatest common factor 9921,4195 is 1.

Lets's calculate LCM of 425,5117

17 425, 5117
25, 301

∴ So the LCM of the given numbers is 17 x 25 x 301 = 127925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127925

Therefore, the GCF of Fractions 9921/425,4195/5117 is 1/127925

Least Common Multiple of 425,5117 with GCF Formula

Least Common Multiple of 425,5117 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 425,5117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,5117) = 17

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

GCF(425,5117) x common factors =17 x 1 = 17

LCM(425,5117) = ( 425 × 5117 ) / 17

LCM(425,5117) = 2174725 / 17

LCM(425,5117) = 127925


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 9921/425, 4195/5117

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 9921/425, 4195/5117?

Answer: GCF of Numerators as per given numbers 9921/425, 4195/5117 is

GCF of Numerators i.e. for 9921,4195 is 1

LCM of denominators i.e. for 425,5117 is 127925.

Thus, GCF of Fractions is 1/127925.Finally, GCF of Fractions for 9921/425, 4195/5117 is 1/127925.