Greatest Common Factor of 7175/44, 6314/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7175/44, 6314/352

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 7175/44,6314/352

Given fractions are 7175/44,6314/352

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 7175,6314

Greatest Common Factor of Numerators i.e. GCF of 7175,6314 is 287 .

LCM of Denominators means LCM of 44,352 as per the given fractions.

LCM of 44,352 is 352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7175,6314

GCF of Fractions 7175/44,6314/352 is 287/352

7 7175, 6314
41 1025, 902
25, 22

∴ So the GCF of the given numbers is 7 x 41 = 287

Greatest Common Factor of 7175,6314 By Matching Biggest Common Factor Method

Greatest Common Factor of 7175,6314 By Matching Biggest Common Factor Method

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1,5,7,25,35,41,175,205,287,1025,1435,7175

Factors of 6314

List of positive integer factors of 6314 that divides 6314 without a remainder.

1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314

Greatest Common Factor

We found the factors 7175,6314 . The biggest common factor number is the GCF number.
So the greatest common factor 7175,6314 is 287.

Lets's calculate LCM of 44,352

2 44, 352
2 22, 176
11 11, 88
1, 8

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 8 = 352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 287/352

Therefore, the GCF of Fractions 7175/44,6314/352 is 287/352

Least Common Multiple of 44,352 with GCF Formula

Least Common Multiple of 44,352 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 44,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,352) = 44

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

GCF(44,352) x common factors =44 x 1 = 44

LCM(44,352) = ( 44 × 352 ) / 44

LCM(44,352) = 15488 / 44

LCM(44,352) = 352


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 7175/44, 6314/352

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 7175/44, 6314/352?

Answer: GCF of Numerators as per given numbers 7175/44, 6314/352 is

GCF of Numerators i.e. for 7175,6314 is 287

LCM of denominators i.e. for 44,352 is 352.

Thus, GCF of Fractions is 287/352.Finally, GCF of Fractions for 7175/44, 6314/352 is 287/352.