Greatest Common Factor of 8144/476, 7148/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8144/476, 7148/686

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 8144/476,7148/686

Given fractions are 8144/476,7148/686

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 8144,7148

Greatest Common Factor of Numerators i.e. GCF of 8144,7148 is 4 .

LCM of Denominators means LCM of 476,686 as per the given fractions.

LCM of 476,686 is 23324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8144,7148

GCF of Fractions 8144/476,7148/686 is 4/23324

2 8144, 7148
2 4072, 3574
2036, 1787

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8144,7148 By Matching Biggest Common Factor Method

Greatest Common Factor of 8144,7148 By Matching Biggest Common Factor Method

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1,2,4,8,16,509,1018,2036,4072,8144

Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1,2,4,1787,3574,7148

Greatest Common Factor

We found the factors 8144,7148 . The biggest common factor number is the GCF number.
So the greatest common factor 8144,7148 is 4.

Lets's calculate LCM of 476,686

2 476, 686
7 238, 343
34, 49

∴ So the LCM of the given numbers is 2 x 7 x 34 x 49 = 23324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23324

Therefore, the GCF of Fractions 8144/476,7148/686 is 4/23324

Least Common Multiple of 476,686 with GCF Formula

Least Common Multiple of 476,686 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 476,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,686) = 14

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

GCF(476,686) x common factors =14 x 1 = 14

LCM(476,686) = ( 476 × 686 ) / 14

LCM(476,686) = 326536 / 14

LCM(476,686) = 23324


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 8144/476, 7148/686

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 8144/476, 7148/686?

Answer: GCF of Numerators as per given numbers 8144/476, 7148/686 is

GCF of Numerators i.e. for 8144,7148 is 4

LCM of denominators i.e. for 476,686 is 23324.

Thus, GCF of Fractions is 4/23324.Finally, GCF of Fractions for 8144/476, 7148/686 is 4/23324.