Greatest Common Factor of 818/794, 7920/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 818/794, 7920/448

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 818/794,7920/448

Given fractions are 818/794,7920/448

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 818,7920

Greatest Common Factor of Numerators i.e. GCF of 818,7920 is 2 .

LCM of Denominators means LCM of 794,448 as per the given fractions.

LCM of 794,448 is 177856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 818,7920

GCF of Fractions 818/794,7920/448 is 2/177856

2 818, 7920
409, 3960

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

Greatest Common Factor of 818,7920 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,7920 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920

Greatest Common Factor

We found the factors 818,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 818,7920 is 2.

Lets's calculate LCM of 794,448

2 794, 448
397, 224

∴ So the LCM of the given numbers is 2 x 397 x 224 = 177856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/177856

Therefore, the GCF of Fractions 818/794,7920/448 is 2/177856

Least Common Multiple of 794,448 with GCF Formula

Least Common Multiple of 794,448 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 794,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,448) = 2

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

GCF(794,448) x common factors =2 x 1 = 2

LCM(794,448) = ( 794 × 448 ) / 2

LCM(794,448) = 355712 / 2

LCM(794,448) = 177856


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 818/794, 7920/448

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 818/794, 7920/448?

Answer: GCF of Numerators as per given numbers 818/794, 7920/448 is

GCF of Numerators i.e. for 818,7920 is 2

LCM of denominators i.e. for 794,448 is 177856.

Thus, GCF of Fractions is 2/177856.Finally, GCF of Fractions for 818/794, 7920/448 is 2/177856.