Greatest Common Factor of 7840/20, 3376/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7840/20, 3376/336

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 7840/20,3376/336

Given fractions are 7840/20,3376/336

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 7840,3376

Greatest Common Factor of Numerators i.e. GCF of 7840,3376 is 16 .

LCM of Denominators means LCM of 20,336 as per the given fractions.

LCM of 20,336 is 1680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7840,3376

GCF of Fractions 7840/20,3376/336 is 16/1680

2 7840, 3376
2 3920, 1688
2 1960, 844
2 980, 422
490, 211

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 7840,3376 By Matching Biggest Common Factor Method

Greatest Common Factor of 7840,3376 By Matching Biggest Common Factor Method

Factors of 7840

List of positive integer factors of 7840 that divides 7840 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840

Factors of 3376

List of positive integer factors of 3376 that divides 3376 without a remainder.

1,2,4,8,16,211,422,844,1688,3376

Greatest Common Factor

We found the factors 7840,3376 . The biggest common factor number is the GCF number.
So the greatest common factor 7840,3376 is 16.

Lets's calculate LCM of 20,336

2 20, 336
2 10, 168
5, 84

∴ So the LCM of the given numbers is 2 x 2 x 5 x 84 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1680

Therefore, the GCF of Fractions 7840/20,3376/336 is 16/1680

Least Common Multiple of 20,336 with GCF Formula

Least Common Multiple of 20,336 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 20,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,336) = 4

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

GCF(20,336) x common factors =4 x 1 = 4

LCM(20,336) = ( 20 × 336 ) / 4

LCM(20,336) = 6720 / 4

LCM(20,336) = 1680


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 7840/20, 3376/336

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 7840/20, 3376/336?

Answer: GCF of Numerators as per given numbers 7840/20, 3376/336 is

GCF of Numerators i.e. for 7840,3376 is 16

LCM of denominators i.e. for 20,336 is 1680.

Thus, GCF of Fractions is 16/1680.Finally, GCF of Fractions for 7840/20, 3376/336 is 16/1680.