Greatest Common Factor of 48/57, 75/80, 67/96, 82/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/57, 75/80, 67/96, 82/64

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 48/57,75/80,67/96,82/64

Given fractions are 48/57,75/80,67/96,82/64

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 48,75,67,82

Greatest Common Factor of Numerators i.e. GCF of 48,75,67,82 is 1 .

LCM of Denominators means LCM of 57,80,96,64 as per the given fractions.

LCM of 57,80,96,64 is 18240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,75,67,82

GCF of Fractions 48/57,75/80,67/96,82/64 is 1/18240

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 48,75,67,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,75,67,82 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 48,75,67,82 . The biggest common factor number is the GCF number.
So the greatest common factor 48,75,67,82 is 1.

Lets's calculate LCM of 57,80,96,64

2 57, 80, 96, 64
2 57, 40, 48, 32
2 57, 20, 24, 16
2 57, 10, 12, 8
2 57, 5, 6, 4
3 57, 5, 3, 2
19, 5, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 19 x 5 x 1 x 2 = 18240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18240

Therefore, the GCF of Fractions 48/57,75/80,67/96,82/64 is 1/18240

Least Common Multiple of 57,80,96,64 with GCF Formula

Least Common Multiple of 57,80,96,64 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 57,80,96,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,80,96,64) = 1

common factors(in case of two or more numbers have common factors) = 1536

GCF(57,80,96,64) x common factors =1 x 1536 = 1536

LCM(57,80,96,64) = ( 57 × 80 × 96 × 64 ) / 1536

LCM(57,80,96,64) = 28016640 / 1536

LCM(57,80,96,64) = 18240


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 48/57, 75/80, 67/96, 82/64

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 48/57, 75/80, 67/96, 82/64?

Answer: GCF of Numerators as per given numbers 48/57, 75/80, 67/96, 82/64 is

GCF of Numerators i.e. for 48,75,67,82 is 1

LCM of denominators i.e. for 57,80,96,64 is 18240.

Thus, GCF of Fractions is 1/18240.Finally, GCF of Fractions for 48/57, 75/80, 67/96, 82/64 is 1/18240.