Greatest Common Factor of 5407/328, 4847/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5407/328, 4847/245

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 5407/328,4847/245

Given fractions are 5407/328,4847/245

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 5407,4847

Greatest Common Factor of Numerators i.e. GCF of 5407,4847 is 1 .

LCM of Denominators means LCM of 328,245 as per the given fractions.

LCM of 328,245 is 80360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5407,4847

GCF of Fractions 5407/328,4847/245 is 1/80360

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

Greatest Common Factor of 5407,4847 By Matching Biggest Common Factor Method

Greatest Common Factor of 5407,4847 By Matching Biggest Common Factor Method

Factors of 5407

List of positive integer factors of 5407 that divides 5407 without a remainder.

1,5407

Factors of 4847

List of positive integer factors of 4847 that divides 4847 without a remainder.

1,37,131,4847

Greatest Common Factor

We found the factors 5407,4847 . The biggest common factor number is the GCF number.
So the greatest common factor 5407,4847 is 1.

Lets's calculate LCM of 328,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 80360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80360

Therefore, the GCF of Fractions 5407/328,4847/245 is 1/80360

Least Common Multiple of 328,245 with GCF Formula

Least Common Multiple of 328,245 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 328,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,245) = 1

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

GCF(328,245) x common factors =1 x 1 = 1

LCM(328,245) = ( 328 × 245 ) / 1

LCM(328,245) = 80360 / 1

LCM(328,245) = 80360


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 5407/328, 4847/245

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 5407/328, 4847/245?

Answer: GCF of Numerators as per given numbers 5407/328, 4847/245 is

GCF of Numerators i.e. for 5407,4847 is 1

LCM of denominators i.e. for 328,245 is 80360.

Thus, GCF of Fractions is 1/80360.Finally, GCF of Fractions for 5407/328, 4847/245 is 1/80360.