Greatest Common Factor of 48/622, 51/5148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/622, 51/5148

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 48/622,51/5148

Given fractions are 48/622,51/5148

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 48,51

Greatest Common Factor of Numerators i.e. GCF of 48,51 is 3 .

LCM of Denominators means LCM of 622,5148 as per the given fractions.

LCM of 622,5148 is 1601028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,51

GCF of Fractions 48/622,51/5148 is 3/1601028

3 48, 51
16, 17

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

Greatest Common Factor of 48,51 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,51 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors 48,51 . The biggest common factor number is the GCF number.
So the greatest common factor 48,51 is 3.

Lets's calculate LCM of 622,5148

2 622, 5148
311, 2574

∴ So the LCM of the given numbers is 2 x 311 x 2574 = 1601028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1601028

Therefore, the GCF of Fractions 48/622,51/5148 is 3/1601028

Least Common Multiple of 622,5148 with GCF Formula

Least Common Multiple of 622,5148 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 622,5148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,5148) = 2

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

GCF(622,5148) x common factors =2 x 1 = 2

LCM(622,5148) = ( 622 × 5148 ) / 2

LCM(622,5148) = 3202056 / 2

LCM(622,5148) = 1601028


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 48/622, 51/5148

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 48/622, 51/5148?

Answer: GCF of Numerators as per given numbers 48/622, 51/5148 is

GCF of Numerators i.e. for 48,51 is 3

LCM of denominators i.e. for 622,5148 is 1601028.

Thus, GCF of Fractions is 3/1601028.Finally, GCF of Fractions for 48/622, 51/5148 is 3/1601028.