Greatest Common Factor of 48/743, 928/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/743, 928/275

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 48/743,928/275

Given fractions are 48/743,928/275

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 48,928

Greatest Common Factor of Numerators i.e. GCF of 48,928 is 16 .

LCM of Denominators means LCM of 743,275 as per the given fractions.

LCM of 743,275 is 204325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,928

GCF of Fractions 48/743,928/275 is 16/204325

2 48, 928
2 24, 464
2 12, 232
2 6, 116
3, 58

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 48,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,928 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 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 48,928 . The biggest common factor number is the GCF number.
So the greatest common factor 48,928 is 16.

Lets's calculate LCM of 743,275

Given numbers has no common factors except 1. So, there LCM is their product i.e 204325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/204325

Therefore, the GCF of Fractions 48/743,928/275 is 16/204325

Least Common Multiple of 743,275 with GCF Formula

Least Common Multiple of 743,275 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 743,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,275) = 1

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

GCF(743,275) x common factors =1 x 1 = 1

LCM(743,275) = ( 743 × 275 ) / 1

LCM(743,275) = 204325 / 1

LCM(743,275) = 204325


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 48/743, 928/275

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 48/743, 928/275?

Answer: GCF of Numerators as per given numbers 48/743, 928/275 is

GCF of Numerators i.e. for 48,928 is 16

LCM of denominators i.e. for 743,275 is 204325.

Thus, GCF of Fractions is 16/204325.Finally, GCF of Fractions for 48/743, 928/275 is 16/204325.