Greatest Common Factor of 2720/448, 7950/5664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2720/448, 7950/5664

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 2720/448,7950/5664

Given fractions are 2720/448,7950/5664

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 2720,7950

Greatest Common Factor of Numerators i.e. GCF of 2720,7950 is 10 .

LCM of Denominators means LCM of 448,5664 as per the given fractions.

LCM of 448,5664 is 79296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2720,7950

GCF of Fractions 2720/448,7950/5664 is 10/79296

2 2720, 7950
5 1360, 3975
272, 795

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

Greatest Common Factor of 2720,7950 By Matching Biggest Common Factor Method

Greatest Common Factor of 2720,7950 By Matching Biggest Common Factor Method

Factors of 2720

List of positive integer factors of 2720 that divides 2720 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720

Factors of 7950

List of positive integer factors of 7950 that divides 7950 without a remainder.

1,2,3,5,6,10,15,25,30,50,53,75,106,150,159,265,318,530,795,1325,1590,2650,3975,7950

Greatest Common Factor

We found the factors 2720,7950 . The biggest common factor number is the GCF number.
So the greatest common factor 2720,7950 is 10.

Lets's calculate LCM of 448,5664

2 448, 5664
2 224, 2832
2 112, 1416
2 56, 708
2 28, 354
14, 177

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 14 x 177 = 79296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/79296

Therefore, the GCF of Fractions 2720/448,7950/5664 is 10/79296

Least Common Multiple of 448,5664 with GCF Formula

Least Common Multiple of 448,5664 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 448,5664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,5664) = 32

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

GCF(448,5664) x common factors =32 x 1 = 32

LCM(448,5664) = ( 448 × 5664 ) / 32

LCM(448,5664) = 2537472 / 32

LCM(448,5664) = 79296


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 2720/448, 7950/5664

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 2720/448, 7950/5664?

Answer: GCF of Numerators as per given numbers 2720/448, 7950/5664 is

GCF of Numerators i.e. for 2720,7950 is 10

LCM of denominators i.e. for 448,5664 is 79296.

Thus, GCF of Fractions is 10/79296.Finally, GCF of Fractions for 2720/448, 7950/5664 is 10/79296.