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Greatest Common Factor of 10/12, 15/24, 18/32, 32/54

Get help with finding GCF of fractions 10/12, 15/24, 18/32, 32/54 using GCF of Fractions Calculator to know the result 1/864 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 10/12, 15/24, 18/32, 32/54 is 1/864.

GCF(10/12, 15/24, 18/32, 32/54) = 1/864

GCF of 10/12, 15/24, 18/32, 32/54

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Given fractions are 10/12,15/24,18/32,32/54

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 10,15,18,32

Greatest Common Factor of Numerators i.e. GCF of 10,15,18,32 is 1 .

LCM of Denominators means LCM of 12,24,32,54 as per the given fractions.

LCM of 12,24,32,54 is 864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,15,18,32

Greatest Common Factor (GCF) of 10,15,18,32 By Common Division

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

Greatest Common Factor of 10,15,18,32 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,15,18,32 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 32

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

1,2,4,8,16,32

Greatest Common Factor

We found the factors 10,15,18,32 . The biggest common factor number is the GCF number.
So the greatest common factor 10,15,18,32 is 1.


Lets's calculate LCM of 12,24,32,54

Least Common Multiple (LCM) of 12,24,32,54 By Common Division

2 12, 24, 32, 54
2 6, 12, 16, 27
2 3, 6, 8, 27
3 3, 3, 4, 27
1, 1, 4, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 4 x 9 = 864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/864

Therefore, the GCF of Fractions 10/12,15/24,18/32,32/54 is 1/864

Least Common Multiple of 12,24,32,54 with GCF Formula

Least Common Multiple of 12,24,32,54 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 12,24,32,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,24,32,54) = 2

common factors(in case of two or more numbers have common factors) = 288

GCF(12,24,32,54) x common factors =2 x 288 = 576

LCM(12,24,32,54) = ( 12 × 24 × 32 × 54 ) / 576

LCM(12,24,32,54) = 497664 / 576

LCM(12,24,32,54) = 864


GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 10/12, 15/24, 18/32, 32/54

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 10/12, 15/24, 18/32, 32/54?

Answer: GCF of Numerators as per given numbers 10/12, 15/24, 18/32, 32/54 is

GCF of Numerators i.e. for 10,15,18,32 is 1

LCM of denominators i.e. for 12,24,32,54 is 864.

Thus, GCF of Fractions is 1/864.Finally, GCF of Fractions for 10/12, 15/24, 18/32, 32/54 is 1/864.