Greatest Common Factor of 9493/548, 6876/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9493/548, 6876/319

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 9493/548,6876/319

Given fractions are 9493/548,6876/319

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 9493,6876

Greatest Common Factor of Numerators i.e. GCF of 9493,6876 is 1 .

LCM of Denominators means LCM of 548,319 as per the given fractions.

LCM of 548,319 is 174812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9493,6876

GCF of Fractions 9493/548,6876/319 is 1/174812

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

Greatest Common Factor of 9493,6876 By Matching Biggest Common Factor Method

Greatest Common Factor of 9493,6876 By Matching Biggest Common Factor Method

Factors of 9493

List of positive integer factors of 9493 that divides 9493 without a remainder.

1,11,863,9493

Factors of 6876

List of positive integer factors of 6876 that divides 6876 without a remainder.

1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876

Greatest Common Factor

We found the factors 9493,6876 . The biggest common factor number is the GCF number.
So the greatest common factor 9493,6876 is 1.

Lets's calculate LCM of 548,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 174812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174812

Therefore, the GCF of Fractions 9493/548,6876/319 is 1/174812

Least Common Multiple of 548,319 with GCF Formula

Least Common Multiple of 548,319 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 548,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,319) = 1

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

GCF(548,319) x common factors =1 x 1 = 1

LCM(548,319) = ( 548 × 319 ) / 1

LCM(548,319) = 174812 / 1

LCM(548,319) = 174812


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 9493/548, 6876/319

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 9493/548, 6876/319?

Answer: GCF of Numerators as per given numbers 9493/548, 6876/319 is

GCF of Numerators i.e. for 9493,6876 is 1

LCM of denominators i.e. for 548,319 is 174812.

Thus, GCF of Fractions is 1/174812.Finally, GCF of Fractions for 9493/548, 6876/319 is 1/174812.