Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 988/23,928/39,295/272
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 988,928,295
Greatest Common Factor of Numerators i.e. GCF of 988,928,295 is 1 .
LCM of Denominators means LCM of 23,39,272 as per the given fractions.
LCM of 23,39,272 is 243984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 988,928,295
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Greatest Common Factor
We found the factors 988,928,295 . The biggest common factor number is the GCF number.
So the greatest common factor 988,928,295 is 1.
Lets's calculate LCM of 23,39,272
Given numbers has no common factors except 1. So, there LCM is their product i.e 243984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243984
Therefore, the GCF of Fractions 988/23,928/39,295/272 is 1/243984
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 23,39,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,39,272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,39,272) x common factors =1 x 1 = 1
LCM(23,39,272) = ( 23 × 39 × 272 ) / 1
LCM(23,39,272) = 243984 / 1
LCM(23,39,272) = 243984
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 988/23, 928/39, 295/272?
Answer: GCF of Numerators as per given numbers 988/23, 928/39, 295/272 is
GCF of Numerators i.e. for 988,928,295 is 1
LCM of denominators i.e. for 23,39,272 is 243984.
Thus, GCF of Fractions is 1/243984.Finally, GCF of Fractions for 988/23, 928/39, 295/272 is 1/243984.