Greatest Common Factor of 3902/304, 5473/7264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3902/304, 5473/7264

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 3902/304,5473/7264

Given fractions are 3902/304,5473/7264

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 3902,5473

Greatest Common Factor of Numerators i.e. GCF of 3902,5473 is 1 .

LCM of Denominators means LCM of 304,7264 as per the given fractions.

LCM of 304,7264 is 138016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3902,5473

GCF of Fractions 3902/304,5473/7264 is 1/138016

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3902,5473 By Matching Biggest Common Factor Method

Greatest Common Factor of 3902,5473 By Matching Biggest Common Factor Method

Factors of 3902

List of positive integer factors of 3902 that divides 3902 without a remainder.

1,2,1951,3902

Factors of 5473

List of positive integer factors of 5473 that divides 5473 without a remainder.

1,13,421,5473

Greatest Common Factor

We found the factors 3902,5473 . The biggest common factor number is the GCF number.
So the greatest common factor 3902,5473 is 1.

Lets's calculate LCM of 304,7264

2 304, 7264
2 152, 3632
2 76, 1816
2 38, 908
19, 454

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 454 = 138016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138016

Therefore, the GCF of Fractions 3902/304,5473/7264 is 1/138016

Least Common Multiple of 304,7264 with GCF Formula

Least Common Multiple of 304,7264 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 304,7264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,7264) = 16

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

GCF(304,7264) x common factors =16 x 1 = 16

LCM(304,7264) = ( 304 × 7264 ) / 16

LCM(304,7264) = 2208256 / 16

LCM(304,7264) = 138016


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 3902/304, 5473/7264

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 3902/304, 5473/7264?

Answer: GCF of Numerators as per given numbers 3902/304, 5473/7264 is

GCF of Numerators i.e. for 3902,5473 is 1

LCM of denominators i.e. for 304,7264 is 138016.

Thus, GCF of Fractions is 1/138016.Finally, GCF of Fractions for 3902/304, 5473/7264 is 1/138016.