Greatest Common Factor of 246/48, 451/4380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 246/48, 451/4380

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 246/48,451/4380

Given fractions are 246/48,451/4380

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 246,451

Greatest Common Factor of Numerators i.e. GCF of 246,451 is 41 .

LCM of Denominators means LCM of 48,4380 as per the given fractions.

LCM of 48,4380 is 17520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 246,451

GCF of Fractions 246/48,451/4380 is 41/17520

41 246, 451
6, 11

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 246,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,451 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 246,451 . The biggest common factor number is the GCF number.
So the greatest common factor 246,451 is 41.

Lets's calculate LCM of 48,4380

2 48, 4380
2 24, 2190
3 12, 1095
4, 365

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 365 = 17520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/17520

Therefore, the GCF of Fractions 246/48,451/4380 is 41/17520

Least Common Multiple of 48,4380 with GCF Formula

Least Common Multiple of 48,4380 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 48,4380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,4380) = 12

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

GCF(48,4380) x common factors =12 x 1 = 12

LCM(48,4380) = ( 48 × 4380 ) / 12

LCM(48,4380) = 210240 / 12

LCM(48,4380) = 17520


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 246/48, 451/4380

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 246/48, 451/4380?

Answer: GCF of Numerators as per given numbers 246/48, 451/4380 is

GCF of Numerators i.e. for 246,451 is 41

LCM of denominators i.e. for 48,4380 is 17520.

Thus, GCF of Fractions is 41/17520.Finally, GCF of Fractions for 246/48, 451/4380 is 41/17520.