Greatest Common Factor of 753/386, 6381/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 753/386, 6381/105

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 753/386,6381/105

Given fractions are 753/386,6381/105

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 753,6381

Greatest Common Factor of Numerators i.e. GCF of 753,6381 is 3 .

LCM of Denominators means LCM of 386,105 as per the given fractions.

LCM of 386,105 is 40530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 753,6381

GCF of Fractions 753/386,6381/105 is 3/40530

3 753, 6381
251, 2127

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 753,6381 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,6381 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 6381

List of positive integer factors of 6381 that divides 6381 without a remainder.

1,3,9,709,2127,6381

Greatest Common Factor

We found the factors 753,6381 . The biggest common factor number is the GCF number.
So the greatest common factor 753,6381 is 3.

Lets's calculate LCM of 386,105

Given numbers has no common factors except 1. So, there LCM is their product i.e 40530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40530

Therefore, the GCF of Fractions 753/386,6381/105 is 3/40530

Least Common Multiple of 386,105 with GCF Formula

Least Common Multiple of 386,105 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 386,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,105) = 1

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

GCF(386,105) x common factors =1 x 1 = 1

LCM(386,105) = ( 386 × 105 ) / 1

LCM(386,105) = 40530 / 1

LCM(386,105) = 40530


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 753/386, 6381/105

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 753/386, 6381/105?

Answer: GCF of Numerators as per given numbers 753/386, 6381/105 is

GCF of Numerators i.e. for 753,6381 is 3

LCM of denominators i.e. for 386,105 is 40530.

Thus, GCF of Fractions is 3/40530.Finally, GCF of Fractions for 753/386, 6381/105 is 3/40530.