Greatest Common Factor of 847/8116, 308/7494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 847/8116, 308/7494

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 847/8116,308/7494

Given fractions are 847/8116,308/7494

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 847,308

Greatest Common Factor of Numerators i.e. GCF of 847,308 is 77 .

LCM of Denominators means LCM of 8116,7494 as per the given fractions.

LCM of 8116,7494 is 30410652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 847,308

GCF of Fractions 847/8116,308/7494 is 77/30410652

7 847, 308
11 121, 44
11, 4

∴ So the GCF of the given numbers is 7 x 11 = 77

Greatest Common Factor of 847,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,308 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 847,308 . The biggest common factor number is the GCF number.
So the greatest common factor 847,308 is 77.

Lets's calculate LCM of 8116,7494

2 8116, 7494
4058, 3747

∴ So the LCM of the given numbers is 2 x 4058 x 3747 = 30410652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/30410652

Therefore, the GCF of Fractions 847/8116,308/7494 is 77/30410652

Least Common Multiple of 8116,7494 with GCF Formula

Least Common Multiple of 8116,7494 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 8116,7494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8116,7494) = 2

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

GCF(8116,7494) x common factors =2 x 1 = 2

LCM(8116,7494) = ( 8116 × 7494 ) / 2

LCM(8116,7494) = 60821304 / 2

LCM(8116,7494) = 30410652


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 847/8116, 308/7494

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 847/8116, 308/7494?

Answer: GCF of Numerators as per given numbers 847/8116, 308/7494 is

GCF of Numerators i.e. for 847,308 is 77

LCM of denominators i.e. for 8116,7494 is 30410652.

Thus, GCF of Fractions is 77/30410652.Finally, GCF of Fractions for 847/8116, 308/7494 is 77/30410652.