Greatest Common Factor of 3920/96, 1939/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3920/96, 1939/448

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 3920/96,1939/448

Given fractions are 3920/96,1939/448

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 3920,1939

Greatest Common Factor of Numerators i.e. GCF of 3920,1939 is 7 .

LCM of Denominators means LCM of 96,448 as per the given fractions.

LCM of 96,448 is 1344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3920,1939

GCF of Fractions 3920/96,1939/448 is 7/1344

7 3920, 1939
560, 277

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3920,1939 By Matching Biggest Common Factor Method

Greatest Common Factor of 3920,1939 By Matching Biggest Common Factor Method

Factors of 3920

List of positive integer factors of 3920 that divides 3920 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920

Factors of 1939

List of positive integer factors of 1939 that divides 1939 without a remainder.

1,7,277,1939

Greatest Common Factor

We found the factors 3920,1939 . The biggest common factor number is the GCF number.
So the greatest common factor 3920,1939 is 7.

Lets's calculate LCM of 96,448

2 96, 448
2 48, 224
2 24, 112
2 12, 56
2 6, 28
3, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 14 = 1344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1344

Therefore, the GCF of Fractions 3920/96,1939/448 is 7/1344

Least Common Multiple of 96,448 with GCF Formula

Least Common Multiple of 96,448 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 96,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,448) = 32

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

GCF(96,448) x common factors =32 x 1 = 32

LCM(96,448) = ( 96 × 448 ) / 32

LCM(96,448) = 43008 / 32

LCM(96,448) = 1344


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 3920/96, 1939/448

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 3920/96, 1939/448?

Answer: GCF of Numerators as per given numbers 3920/96, 1939/448 is

GCF of Numerators i.e. for 3920,1939 is 7

LCM of denominators i.e. for 96,448 is 1344.

Thus, GCF of Fractions is 7/1344.Finally, GCF of Fractions for 3920/96, 1939/448 is 7/1344.