Greatest Common Factor of 3851/120, 4518/3961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3851/120, 4518/3961

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 3851/120,4518/3961

Given fractions are 3851/120,4518/3961

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 3851,4518

Greatest Common Factor of Numerators i.e. GCF of 3851,4518 is 1 .

LCM of Denominators means LCM of 120,3961 as per the given fractions.

LCM of 120,3961 is 475320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3851,4518

GCF of Fractions 3851/120,4518/3961 is 1/475320

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

Greatest Common Factor of 3851,4518 By Matching Biggest Common Factor Method

Greatest Common Factor of 3851,4518 By Matching Biggest Common Factor Method

Factors of 3851

List of positive integer factors of 3851 that divides 3851 without a remainder.

1,3851

Factors of 4518

List of positive integer factors of 4518 that divides 4518 without a remainder.

1,2,3,6,9,18,251,502,753,1506,2259,4518

Greatest Common Factor

We found the factors 3851,4518 . The biggest common factor number is the GCF number.
So the greatest common factor 3851,4518 is 1.

Lets's calculate LCM of 120,3961

Given numbers has no common factors except 1. So, there LCM is their product i.e 475320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/475320

Therefore, the GCF of Fractions 3851/120,4518/3961 is 1/475320

Least Common Multiple of 120,3961 with GCF Formula

Least Common Multiple of 120,3961 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 120,3961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,3961) = 1

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

GCF(120,3961) x common factors =1 x 1 = 1

LCM(120,3961) = ( 120 × 3961 ) / 1

LCM(120,3961) = 475320 / 1

LCM(120,3961) = 475320


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 3851/120, 4518/3961

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 3851/120, 4518/3961?

Answer: GCF of Numerators as per given numbers 3851/120, 4518/3961 is

GCF of Numerators i.e. for 3851,4518 is 1

LCM of denominators i.e. for 120,3961 is 475320.

Thus, GCF of Fractions is 1/475320.Finally, GCF of Fractions for 3851/120, 4518/3961 is 1/475320.