Greatest Common Factor of 9960/248, 9821/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9960/248, 9821/311

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 9960/248,9821/311

Given fractions are 9960/248,9821/311

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 9960,9821

Greatest Common Factor of Numerators i.e. GCF of 9960,9821 is 1 .

LCM of Denominators means LCM of 248,311 as per the given fractions.

LCM of 248,311 is 77128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9960,9821

GCF of Fractions 9960/248,9821/311 is 1/77128

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

Greatest Common Factor of 9960,9821 By Matching Biggest Common Factor Method

Greatest Common Factor of 9960,9821 By Matching Biggest Common Factor Method

Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Factors of 9821

List of positive integer factors of 9821 that divides 9821 without a remainder.

1,7,23,61,161,427,1403,9821

Greatest Common Factor

We found the factors 9960,9821 . The biggest common factor number is the GCF number.
So the greatest common factor 9960,9821 is 1.

Lets's calculate LCM of 248,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 77128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77128

Therefore, the GCF of Fractions 9960/248,9821/311 is 1/77128

Least Common Multiple of 248,311 with GCF Formula

Least Common Multiple of 248,311 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 248,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,311) = 1

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

GCF(248,311) x common factors =1 x 1 = 1

LCM(248,311) = ( 248 × 311 ) / 1

LCM(248,311) = 77128 / 1

LCM(248,311) = 77128


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 9960/248, 9821/311

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 9960/248, 9821/311?

Answer: GCF of Numerators as per given numbers 9960/248, 9821/311 is

GCF of Numerators i.e. for 9960,9821 is 1

LCM of denominators i.e. for 248,311 is 77128.

Thus, GCF of Fractions is 1/77128.Finally, GCF of Fractions for 9960/248, 9821/311 is 1/77128.