Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/74,93/87,73/72,12/28
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 43,93,73,12
Greatest Common Factor of Numerators i.e. GCF of 43,93,73,12 is 1 .
LCM of Denominators means LCM of 74,87,72,28 as per the given fractions.
LCM of 74,87,72,28 is 540792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,93,73,12
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 43,93,73,12 . The biggest common factor number is the GCF number.
So the greatest common factor 43,93,73,12 is 1.
Lets's calculate LCM of 74,87,72,28
2 | 74, 87, 72, 28 |
2 | 37, 87, 36, 14 |
3 | 37, 87, 18, 7 |
37, 29, 6, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 29 x 6 x 7 = 540792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540792
Therefore, the GCF of Fractions 43/74,93/87,73/72,12/28 is 1/540792
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 74,87,72,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,87,72,28) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(74,87,72,28) x common factors =1 x 24 = 24
LCM(74,87,72,28) = ( 74 × 87 × 72 × 28 ) / 24
LCM(74,87,72,28) = 12979008 / 24
LCM(74,87,72,28) = 540792
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 43/74, 93/87, 73/72, 12/28?
Answer: GCF of Numerators as per given numbers 43/74, 93/87, 73/72, 12/28 is
GCF of Numerators i.e. for 43,93,73,12 is 1
LCM of denominators i.e. for 74,87,72,28 is 540792.
Thus, GCF of Fractions is 1/540792.Finally, GCF of Fractions for 43/74, 93/87, 73/72, 12/28 is 1/540792.