Greatest Common Factor of 4375/341, 7804/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4375/341, 7804/241

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 4375/341,7804/241

Given fractions are 4375/341,7804/241

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 4375,7804

Greatest Common Factor of Numerators i.e. GCF of 4375,7804 is 1 .

LCM of Denominators means LCM of 341,241 as per the given fractions.

LCM of 341,241 is 82181 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4375,7804

GCF of Fractions 4375/341,7804/241 is 1/82181

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

Greatest Common Factor of 4375,7804 By Matching Biggest Common Factor Method

Greatest Common Factor of 4375,7804 By Matching Biggest Common Factor Method

Factors of 4375

List of positive integer factors of 4375 that divides 4375 without a remainder.

1,5,7,25,35,125,175,625,875,4375

Factors of 7804

List of positive integer factors of 7804 that divides 7804 without a remainder.

1,2,4,1951,3902,7804

Greatest Common Factor

We found the factors 4375,7804 . The biggest common factor number is the GCF number.
So the greatest common factor 4375,7804 is 1.

Lets's calculate LCM of 341,241

Given numbers has no common factors except 1. So, there LCM is their product i.e 82181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82181

Therefore, the GCF of Fractions 4375/341,7804/241 is 1/82181

Least Common Multiple of 341,241 with GCF Formula

Least Common Multiple of 341,241 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 341,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,241) = 1

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

GCF(341,241) x common factors =1 x 1 = 1

LCM(341,241) = ( 341 × 241 ) / 1

LCM(341,241) = 82181 / 1

LCM(341,241) = 82181


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 4375/341, 7804/241

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 4375/341, 7804/241?

Answer: GCF of Numerators as per given numbers 4375/341, 7804/241 is

GCF of Numerators i.e. for 4375,7804 is 1

LCM of denominators i.e. for 341,241 is 82181.

Thus, GCF of Fractions is 1/82181.Finally, GCF of Fractions for 4375/341, 7804/241 is 1/82181.