Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/75,27/88,71/38,95/348
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 28,27,71,95
Greatest Common Factor of Numerators i.e. GCF of 28,27,71,95 is 1 .
LCM of Denominators means LCM of 75,88,38,348 as per the given fractions.
LCM of 75,88,38,348 is 3636600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 28,27,71,95
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Greatest Common Factor
We found the factors 28,27,71,95 . The biggest common factor number is the GCF number.
So the greatest common factor 28,27,71,95 is 1.
Lets's calculate LCM of 75,88,38,348
2 | 75, 88, 38, 348 |
2 | 75, 44, 19, 174 |
3 | 75, 22, 19, 87 |
25, 22, 19, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 22 x 19 x 29 = 3636600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3636600
Therefore, the GCF of Fractions 28/75,27/88,71/38,95/348 is 1/3636600
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 75,88,38,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,88,38,348) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(75,88,38,348) x common factors =1 x 24 = 24
LCM(75,88,38,348) = ( 75 × 88 × 38 × 348 ) / 24
LCM(75,88,38,348) = 87278400 / 24
LCM(75,88,38,348) = 3636600
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 28/75, 27/88, 71/38, 95/348?
Answer: GCF of Numerators as per given numbers 28/75, 27/88, 71/38, 95/348 is
GCF of Numerators i.e. for 28,27,71,95 is 1
LCM of denominators i.e. for 75,88,38,348 is 3636600.
Thus, GCF of Fractions is 1/3636600.Finally, GCF of Fractions for 28/75, 27/88, 71/38, 95/348 is 1/3636600.