Greatest Common Factor of 121/310, 3215/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 121/310, 3215/248

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 121/310,3215/248

Given fractions are 121/310,3215/248

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 121,3215

Greatest Common Factor of Numerators i.e. GCF of 121,3215 is 1 .

LCM of Denominators means LCM of 310,248 as per the given fractions.

LCM of 310,248 is 1240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 121,3215

GCF of Fractions 121/310,3215/248 is 1/1240

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

Greatest Common Factor of 121,3215 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,3215 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 3215

List of positive integer factors of 3215 that divides 3215 without a remainder.

1,5,643,3215

Greatest Common Factor

We found the factors 121,3215 . The biggest common factor number is the GCF number.
So the greatest common factor 121,3215 is 1.

Lets's calculate LCM of 310,248

2 310, 248
31 155, 124
5, 4

∴ So the LCM of the given numbers is 2 x 31 x 5 x 4 = 1240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1240

Therefore, the GCF of Fractions 121/310,3215/248 is 1/1240

Least Common Multiple of 310,248 with GCF Formula

Least Common Multiple of 310,248 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 310,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,248) = 62

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

GCF(310,248) x common factors =62 x 1 = 62

LCM(310,248) = ( 310 × 248 ) / 62

LCM(310,248) = 76880 / 62

LCM(310,248) = 1240


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 121/310, 3215/248

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 121/310, 3215/248?

Answer: GCF of Numerators as per given numbers 121/310, 3215/248 is

GCF of Numerators i.e. for 121,3215 is 1

LCM of denominators i.e. for 310,248 is 1240.

Thus, GCF of Fractions is 1/1240.Finally, GCF of Fractions for 121/310, 3215/248 is 1/1240.