Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/52,795/15,891/48
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 928,795,891
Greatest Common Factor of Numerators i.e. GCF of 928,795,891 is 1 .
LCM of Denominators means LCM of 52,15,48 as per the given fractions.
LCM of 52,15,48 is 3120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 928,795,891
∴ So GCF of numbers is 1 because of no common factors present between them.
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 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 928,795,891 . The biggest common factor number is the GCF number.
So the greatest common factor 928,795,891 is 1.
Lets's calculate LCM of 52,15,48
2 | 52, 15, 48 |
2 | 26, 15, 24 |
3 | 13, 15, 12 |
13, 5, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 5 x 4 = 3120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3120
Therefore, the GCF of Fractions 928/52,795/15,891/48 is 1/3120
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 52,15,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,15,48) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(52,15,48) x common factors =1 x 12 = 12
LCM(52,15,48) = ( 52 × 15 × 48 ) / 12
LCM(52,15,48) = 37440 / 12
LCM(52,15,48) = 3120
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 928/52, 795/15, 891/48?
Answer: GCF of Numerators as per given numbers 928/52, 795/15, 891/48 is
GCF of Numerators i.e. for 928,795,891 is 1
LCM of denominators i.e. for 52,15,48 is 3120.
Thus, GCF of Fractions is 1/3120.Finally, GCF of Fractions for 928/52, 795/15, 891/48 is 1/3120.