Greatest Common Factor of 7132/281, 6704/7376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7132/281, 6704/7376

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 7132/281,6704/7376

Given fractions are 7132/281,6704/7376

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 7132,6704

Greatest Common Factor of Numerators i.e. GCF of 7132,6704 is 4 .

LCM of Denominators means LCM of 281,7376 as per the given fractions.

LCM of 281,7376 is 2072656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7132,6704

GCF of Fractions 7132/281,6704/7376 is 4/2072656

2 7132, 6704
2 3566, 3352
1783, 1676

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

Greatest Common Factor of 7132,6704 By Matching Biggest Common Factor Method

Greatest Common Factor of 7132,6704 By Matching Biggest Common Factor Method

Factors of 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1,2,4,1783,3566,7132

Factors of 6704

List of positive integer factors of 6704 that divides 6704 without a remainder.

1,2,4,8,16,419,838,1676,3352,6704

Greatest Common Factor

We found the factors 7132,6704 . The biggest common factor number is the GCF number.
So the greatest common factor 7132,6704 is 4.

Lets's calculate LCM of 281,7376

Given numbers has no common factors except 1. So, there LCM is their product i.e 2072656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2072656

Therefore, the GCF of Fractions 7132/281,6704/7376 is 4/2072656

Least Common Multiple of 281,7376 with GCF Formula

Least Common Multiple of 281,7376 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 281,7376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,7376) = 1

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

GCF(281,7376) x common factors =1 x 1 = 1

LCM(281,7376) = ( 281 × 7376 ) / 1

LCM(281,7376) = 2072656 / 1

LCM(281,7376) = 2072656


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 7132/281, 6704/7376

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 7132/281, 6704/7376?

Answer: GCF of Numerators as per given numbers 7132/281, 6704/7376 is

GCF of Numerators i.e. for 7132,6704 is 4

LCM of denominators i.e. for 281,7376 is 2072656.

Thus, GCF of Fractions is 4/2072656.Finally, GCF of Fractions for 7132/281, 6704/7376 is 4/2072656.