Greatest Common Factor of 9332/778, 1040/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9332/778, 1040/638

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 9332/778,1040/638

Given fractions are 9332/778,1040/638

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 9332,1040

Greatest Common Factor of Numerators i.e. GCF of 9332,1040 is 4 .

LCM of Denominators means LCM of 778,638 as per the given fractions.

LCM of 778,638 is 248182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9332,1040

GCF of Fractions 9332/778,1040/638 is 4/248182

2 9332, 1040
2 4666, 520
2333, 260

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9332,1040 By Matching Biggest Common Factor Method

Greatest Common Factor of 9332,1040 By Matching Biggest Common Factor Method

Factors of 9332

List of positive integer factors of 9332 that divides 9332 without a remainder.

1,2,4,2333,4666,9332

Factors of 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040

Greatest Common Factor

We found the factors 9332,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 9332,1040 is 4.

Lets's calculate LCM of 778,638

2 778, 638
389, 319

∴ So the LCM of the given numbers is 2 x 389 x 319 = 248182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/248182

Therefore, the GCF of Fractions 9332/778,1040/638 is 4/248182

Least Common Multiple of 778,638 with GCF Formula

Least Common Multiple of 778,638 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 778,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,638) = 2

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

GCF(778,638) x common factors =2 x 1 = 2

LCM(778,638) = ( 778 × 638 ) / 2

LCM(778,638) = 496364 / 2

LCM(778,638) = 248182


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 9332/778, 1040/638

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 9332/778, 1040/638?

Answer: GCF of Numerators as per given numbers 9332/778, 1040/638 is

GCF of Numerators i.e. for 9332,1040 is 4

LCM of denominators i.e. for 778,638 is 248182.

Thus, GCF of Fractions is 4/248182.Finally, GCF of Fractions for 9332/778, 1040/638 is 4/248182.