Greatest Common Factor of 8176/388, 6942/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8176/388, 6942/608

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 8176/388,6942/608

Given fractions are 8176/388,6942/608

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 8176,6942

Greatest Common Factor of Numerators i.e. GCF of 8176,6942 is 2 .

LCM of Denominators means LCM of 388,608 as per the given fractions.

LCM of 388,608 is 58976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8176,6942

GCF of Fractions 8176/388,6942/608 is 2/58976

2 8176, 6942
4088, 3471

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

Greatest Common Factor of 8176,6942 By Matching Biggest Common Factor Method

Greatest Common Factor of 8176,6942 By Matching Biggest Common Factor Method

Factors of 8176

List of positive integer factors of 8176 that divides 8176 without a remainder.

1,2,4,7,8,14,16,28,56,73,112,146,292,511,584,1022,1168,2044,4088,8176

Factors of 6942

List of positive integer factors of 6942 that divides 6942 without a remainder.

1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942

Greatest Common Factor

We found the factors 8176,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 8176,6942 is 2.

Lets's calculate LCM of 388,608

2 388, 608
2 194, 304
97, 152

∴ So the LCM of the given numbers is 2 x 2 x 97 x 152 = 58976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58976

Therefore, the GCF of Fractions 8176/388,6942/608 is 2/58976

Least Common Multiple of 388,608 with GCF Formula

Least Common Multiple of 388,608 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 388,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,608) = 4

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

GCF(388,608) x common factors =4 x 1 = 4

LCM(388,608) = ( 388 × 608 ) / 4

LCM(388,608) = 235904 / 4

LCM(388,608) = 58976


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 8176/388, 6942/608

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 8176/388, 6942/608?

Answer: GCF of Numerators as per given numbers 8176/388, 6942/608 is

GCF of Numerators i.e. for 8176,6942 is 2

LCM of denominators i.e. for 388,608 is 58976.

Thus, GCF of Fractions is 2/58976.Finally, GCF of Fractions for 8176/388, 6942/608 is 2/58976.