Greatest Common Factor of 4160/714, 2330/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4160/714, 2330/448

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 4160/714,2330/448

Given fractions are 4160/714,2330/448

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 4160,2330

Greatest Common Factor of Numerators i.e. GCF of 4160,2330 is 10 .

LCM of Denominators means LCM of 714,448 as per the given fractions.

LCM of 714,448 is 22848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4160,2330

GCF of Fractions 4160/714,2330/448 is 10/22848

2 4160, 2330
5 2080, 1165
416, 233

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

Greatest Common Factor of 4160,2330 By Matching Biggest Common Factor Method

Greatest Common Factor of 4160,2330 By Matching Biggest Common Factor Method

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160

Factors of 2330

List of positive integer factors of 2330 that divides 2330 without a remainder.

1,2,5,10,233,466,1165,2330

Greatest Common Factor

We found the factors 4160,2330 . The biggest common factor number is the GCF number.
So the greatest common factor 4160,2330 is 10.

Lets's calculate LCM of 714,448

2 714, 448
7 357, 224
51, 32

∴ So the LCM of the given numbers is 2 x 7 x 51 x 32 = 22848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/22848

Therefore, the GCF of Fractions 4160/714,2330/448 is 10/22848

Least Common Multiple of 714,448 with GCF Formula

Least Common Multiple of 714,448 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 714,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,448) = 14

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

GCF(714,448) x common factors =14 x 1 = 14

LCM(714,448) = ( 714 × 448 ) / 14

LCM(714,448) = 319872 / 14

LCM(714,448) = 22848


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 4160/714, 2330/448

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 4160/714, 2330/448?

Answer: GCF of Numerators as per given numbers 4160/714, 2330/448 is

GCF of Numerators i.e. for 4160,2330 is 10

LCM of denominators i.e. for 714,448 is 22848.

Thus, GCF of Fractions is 10/22848.Finally, GCF of Fractions for 4160/714, 2330/448 is 10/22848.