Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 147/235,380/864,243/875
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 147,380,243
Greatest Common Factor of Numerators i.e. GCF of 147,380,243 is 1 .
LCM of Denominators means LCM of 235,864,875 as per the given fractions.
LCM of 235,864,875 is 35532000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 147,380,243
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors 147,380,243 . The biggest common factor number is the GCF number.
So the greatest common factor 147,380,243 is 1.
Lets's calculate LCM of 235,864,875
5 | 235, 864, 875 |
47, 864, 175 |
∴ So the LCM of the given numbers is 5 x 47 x 864 x 175 = 35532000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35532000
Therefore, the GCF of Fractions 147/235,380/864,243/875 is 1/35532000
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 235,864,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,864,875) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(235,864,875) x common factors =1 x 5 = 5
LCM(235,864,875) = ( 235 × 864 × 875 ) / 5
LCM(235,864,875) = 177660000 / 5
LCM(235,864,875) = 35532000
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 147/235, 380/864, 243/875?
Answer: GCF of Numerators as per given numbers 147/235, 380/864, 243/875 is
GCF of Numerators i.e. for 147,380,243 is 1
LCM of denominators i.e. for 235,864,875 is 35532000.
Thus, GCF of Fractions is 1/35532000.Finally, GCF of Fractions for 147/235, 380/864, 243/875 is 1/35532000.