Greatest Common Factor of 6341/91, 4301/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6341/91, 4301/120

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 6341/91,4301/120

Given fractions are 6341/91,4301/120

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 6341,4301

Greatest Common Factor of Numerators i.e. GCF of 6341,4301 is 17 .

LCM of Denominators means LCM of 91,120 as per the given fractions.

LCM of 91,120 is 10920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6341,4301

GCF of Fractions 6341/91,4301/120 is 17/10920

17 6341, 4301
373, 253

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 6341,4301 By Matching Biggest Common Factor Method

Greatest Common Factor of 6341,4301 By Matching Biggest Common Factor Method

Factors of 6341

List of positive integer factors of 6341 that divides 6341 without a remainder.

1,17,373,6341

Factors of 4301

List of positive integer factors of 4301 that divides 4301 without a remainder.

1,11,17,23,187,253,391,4301

Greatest Common Factor

We found the factors 6341,4301 . The biggest common factor number is the GCF number.
So the greatest common factor 6341,4301 is 17.

Lets's calculate LCM of 91,120

Given numbers has no common factors except 1. So, there LCM is their product i.e 10920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/10920

Therefore, the GCF of Fractions 6341/91,4301/120 is 17/10920

Least Common Multiple of 91,120 with GCF Formula

Least Common Multiple of 91,120 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 91,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,120) = 1

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

GCF(91,120) x common factors =1 x 1 = 1

LCM(91,120) = ( 91 × 120 ) / 1

LCM(91,120) = 10920 / 1

LCM(91,120) = 10920


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 6341/91, 4301/120

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 6341/91, 4301/120?

Answer: GCF of Numerators as per given numbers 6341/91, 4301/120 is

GCF of Numerators i.e. for 6341,4301 is 17

LCM of denominators i.e. for 91,120 is 10920.

Thus, GCF of Fractions is 17/10920.Finally, GCF of Fractions for 6341/91, 4301/120 is 17/10920.