Greatest Common Factor of 32/40, 64/48, 80/60, 128/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/40, 64/48, 80/60, 128/95

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 32/40,64/48,80/60,128/95

Given fractions are 32/40,64/48,80/60,128/95

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 32,64,80,128

Greatest Common Factor of Numerators i.e. GCF of 32,64,80,128 is 16 .

LCM of Denominators means LCM of 40,48,60,95 as per the given fractions.

LCM of 40,48,60,95 is 4560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,64,80,128

GCF of Fractions 32/40,64/48,80/60,128/95 is 16/4560

2 32, 64, 80, 128
2 16, 32, 40, 64
2 8, 16, 20, 32
2 4, 8, 10, 16
2, 4, 5, 8

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

Greatest Common Factor of 32,64,80,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,64,80,128 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 32,64,80,128 . The biggest common factor number is the GCF number.
So the greatest common factor 32,64,80,128 is 16.

Lets's calculate LCM of 40,48,60,95

2 40, 48, 60, 95
2 20, 24, 30, 95
2 10, 12, 15, 95
3 5, 6, 15, 95
5 5, 2, 5, 95
1, 2, 1, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 2 x 1 x 19 = 4560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4560

Therefore, the GCF of Fractions 32/40,64/48,80/60,128/95 is 16/4560

Least Common Multiple of 40,48,60,95 with GCF Formula

Least Common Multiple of 40,48,60,95 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 40,48,60,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,48,60,95) = 1

common factors(in case of two or more numbers have common factors) = 2400

GCF(40,48,60,95) x common factors =1 x 2400 = 2400

LCM(40,48,60,95) = ( 40 × 48 × 60 × 95 ) / 2400

LCM(40,48,60,95) = 10944000 / 2400

LCM(40,48,60,95) = 4560


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 32/40, 64/48, 80/60, 128/95

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 32/40, 64/48, 80/60, 128/95?

Answer: GCF of Numerators as per given numbers 32/40, 64/48, 80/60, 128/95 is

GCF of Numerators i.e. for 32,64,80,128 is 16

LCM of denominators i.e. for 40,48,60,95 is 4560.

Thus, GCF of Fractions is 16/4560.Finally, GCF of Fractions for 32/40, 64/48, 80/60, 128/95 is 16/4560.