Greatest Common Factor of 920/31, 330/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 920/31, 330/248

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 920/31,330/248

Given fractions are 920/31,330/248

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 920,330

Greatest Common Factor of Numerators i.e. GCF of 920,330 is 10 .

LCM of Denominators means LCM of 31,248 as per the given fractions.

LCM of 31,248 is 248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,330

GCF of Fractions 920/31,330/248 is 10/248

2 920, 330
5 460, 165
92, 33

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 920,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,330 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 920,330 . The biggest common factor number is the GCF number.
So the greatest common factor 920,330 is 10.

Lets's calculate LCM of 31,248

31 31, 248
1, 8

∴ So the LCM of the given numbers is 31 x 1 x 8 = 248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/248

Therefore, the GCF of Fractions 920/31,330/248 is 10/248

Least Common Multiple of 31,248 with GCF Formula

Least Common Multiple of 31,248 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 31,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,248) = 31

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

GCF(31,248) x common factors =31 x 1 = 31

LCM(31,248) = ( 31 × 248 ) / 31

LCM(31,248) = 7688 / 31

LCM(31,248) = 248


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 920/31, 330/248

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 920/31, 330/248?

Answer: GCF of Numerators as per given numbers 920/31, 330/248 is

GCF of Numerators i.e. for 920,330 is 10

LCM of denominators i.e. for 31,248 is 248.

Thus, GCF of Fractions is 10/248.Finally, GCF of Fractions for 920/31, 330/248 is 10/248.