Greatest Common Factor of 5031/155, 9169/4014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5031/155, 9169/4014

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 5031/155,9169/4014

Given fractions are 5031/155,9169/4014

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 5031,9169

Greatest Common Factor of Numerators i.e. GCF of 5031,9169 is 1 .

LCM of Denominators means LCM of 155,4014 as per the given fractions.

LCM of 155,4014 is 622170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5031,9169

GCF of Fractions 5031/155,9169/4014 is 1/622170

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

Greatest Common Factor of 5031,9169 By Matching Biggest Common Factor Method

Greatest Common Factor of 5031,9169 By Matching Biggest Common Factor Method

Factors of 5031

List of positive integer factors of 5031 that divides 5031 without a remainder.

1,3,9,13,39,43,117,129,387,559,1677,5031

Factors of 9169

List of positive integer factors of 9169 that divides 9169 without a remainder.

1,53,173,9169

Greatest Common Factor

We found the factors 5031,9169 . The biggest common factor number is the GCF number.
So the greatest common factor 5031,9169 is 1.


Lets's calculate LCM of 155,4014

Given numbers has no common factors except 1. So, there LCM is their product i.e 622170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/622170

Therefore, the GCF of Fractions 5031/155,9169/4014 is 1/622170

Least Common Multiple of 155,4014 with GCF Formula

Least Common Multiple of 155,4014 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 155,4014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,4014) = 1

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

GCF(155,4014) x common factors =1 x 1 = 1

LCM(155,4014) = ( 155 × 4014 ) / 1

LCM(155,4014) = 622170 / 1

LCM(155,4014) = 622170


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5031/155, 9169/4014

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 5031/155, 9169/4014?

Answer: GCF of Numerators as per given numbers 5031/155, 9169/4014 is

GCF of Numerators i.e. for 5031,9169 is 1

LCM of denominators i.e. for 155,4014 is 622170.

Thus, GCF of Fractions is 1/622170.Finally, GCF of Fractions for 5031/155, 9169/4014 is 1/622170.