Greatest Common Factor of 8816/774, 8170/8040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8816/774, 8170/8040

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 8816/774,8170/8040

Given fractions are 8816/774,8170/8040

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 8816,8170

Greatest Common Factor of Numerators i.e. GCF of 8816,8170 is 38 .

LCM of Denominators means LCM of 774,8040 as per the given fractions.

LCM of 774,8040 is 1037160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8816,8170

GCF of Fractions 8816/774,8170/8040 is 38/1037160

2 8816, 8170
19 4408, 4085
232, 215

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 8816,8170 By Matching Biggest Common Factor Method

Greatest Common Factor of 8816,8170 By Matching Biggest Common Factor Method

Factors of 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816

Factors of 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170

Greatest Common Factor

We found the factors 8816,8170 . The biggest common factor number is the GCF number.
So the greatest common factor 8816,8170 is 38.

Lets's calculate LCM of 774,8040

2 774, 8040
3 387, 4020
129, 1340

∴ So the LCM of the given numbers is 2 x 3 x 129 x 1340 = 1037160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/1037160

Therefore, the GCF of Fractions 8816/774,8170/8040 is 38/1037160

Least Common Multiple of 774,8040 with GCF Formula

Least Common Multiple of 774,8040 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 774,8040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,8040) = 6

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

GCF(774,8040) x common factors =6 x 1 = 6

LCM(774,8040) = ( 774 × 8040 ) / 6

LCM(774,8040) = 6222960 / 6

LCM(774,8040) = 1037160


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 8816/774, 8170/8040

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 8816/774, 8170/8040?

Answer: GCF of Numerators as per given numbers 8816/774, 8170/8040 is

GCF of Numerators i.e. for 8816,8170 is 38

LCM of denominators i.e. for 774,8040 is 1037160.

Thus, GCF of Fractions is 38/1037160.Finally, GCF of Fractions for 8816/774, 8170/8040 is 38/1037160.