Greatest Common Factor of 2451/105, 6381/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2451/105, 6381/645

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 2451/105,6381/645

Given fractions are 2451/105,6381/645

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 2451,6381

Greatest Common Factor of Numerators i.e. GCF of 2451,6381 is 3 .

LCM of Denominators means LCM of 105,645 as per the given fractions.

LCM of 105,645 is 4515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2451,6381

GCF of Fractions 2451/105,6381/645 is 3/4515

3 2451, 6381
817, 2127

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

Greatest Common Factor of 2451,6381 By Matching Biggest Common Factor Method

Greatest Common Factor of 2451,6381 By Matching Biggest Common Factor Method

Factors of 2451

List of positive integer factors of 2451 that divides 2451 without a remainder.

1,3,19,43,57,129,817,2451

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 2451,6381 . The biggest common factor number is the GCF number.
So the greatest common factor 2451,6381 is 3.

Lets's calculate LCM of 105,645

3 105, 645
5 35, 215
7, 43

∴ So the LCM of the given numbers is 3 x 5 x 7 x 43 = 4515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4515

Therefore, the GCF of Fractions 2451/105,6381/645 is 3/4515

Least Common Multiple of 105,645 with GCF Formula

Least Common Multiple of 105,645 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 105,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,645) = 15

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

GCF(105,645) x common factors =15 x 1 = 15

LCM(105,645) = ( 105 × 645 ) / 15

LCM(105,645) = 67725 / 15

LCM(105,645) = 4515


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 2451/105, 6381/645

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 2451/105, 6381/645?

Answer: GCF of Numerators as per given numbers 2451/105, 6381/645 is

GCF of Numerators i.e. for 2451,6381 is 3

LCM of denominators i.e. for 105,645 is 4515.

Thus, GCF of Fractions is 3/4515.Finally, GCF of Fractions for 2451/105, 6381/645 is 3/4515.