Greatest Common Factor of 794/474, 480/876, 248/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 794/474, 480/876, 248/678

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 794/474,480/876,248/678

Given fractions are 794/474,480/876,248/678

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 794,480,248

Greatest Common Factor of Numerators i.e. GCF of 794,480,248 is 2 .

LCM of Denominators means LCM of 474,876,678 as per the given fractions.

LCM of 474,876,678 is 7820052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 794,480,248

GCF of Fractions 794/474,480/876,248/678 is 2/7820052

2 794, 480, 248
397, 240, 124

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

Greatest Common Factor of 794,480,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,480,248 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 794,480,248 . The biggest common factor number is the GCF number.
So the greatest common factor 794,480,248 is 2.

Lets's calculate LCM of 474,876,678

2 474, 876, 678
3 237, 438, 339
79, 146, 113

∴ So the LCM of the given numbers is 2 x 3 x 79 x 146 x 113 = 7820052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7820052

Therefore, the GCF of Fractions 794/474,480/876,248/678 is 2/7820052

Least Common Multiple of 474,876,678 with GCF Formula

Least Common Multiple of 474,876,678 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 474,876,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,876,678) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(474,876,678) x common factors =6 x 6 = 36

LCM(474,876,678) = ( 474 × 876 × 678 ) / 36

LCM(474,876,678) = 281521872 / 36

LCM(474,876,678) = 7820052


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 794/474, 480/876, 248/678

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 794/474, 480/876, 248/678?

Answer: GCF of Numerators as per given numbers 794/474, 480/876, 248/678 is

GCF of Numerators i.e. for 794,480,248 is 2

LCM of denominators i.e. for 474,876,678 is 7820052.

Thus, GCF of Fractions is 2/7820052.Finally, GCF of Fractions for 794/474, 480/876, 248/678 is 2/7820052.