Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/68,196/86,908/558
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 928,196,908
Greatest Common Factor of Numerators i.e. GCF of 928,196,908 is 4 .
LCM of Denominators means LCM of 68,86,558 as per the given fractions.
LCM of 68,86,558 is 815796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 928,196,908
2 | 928, 196, 908 |
2 | 464, 98, 454 |
232, 49, 227 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 928,196,908 . The biggest common factor number is the GCF number.
So the greatest common factor 928,196,908 is 4.
Lets's calculate LCM of 68,86,558
2 | 68, 86, 558 |
34, 43, 279 |
∴ So the LCM of the given numbers is 2 x 34 x 43 x 279 = 815796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/815796
Therefore, the GCF of Fractions 928/68,196/86,908/558 is 4/815796
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 68,86,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,86,558) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(68,86,558) x common factors =2 x 2 = 4
LCM(68,86,558) = ( 68 × 86 × 558 ) / 4
LCM(68,86,558) = 3263184 / 4
LCM(68,86,558) = 815796
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 928/68, 196/86, 908/558?
Answer: GCF of Numerators as per given numbers 928/68, 196/86, 908/558 is
GCF of Numerators i.e. for 928,196,908 is 4
LCM of denominators i.e. for 68,86,558 is 815796.
Thus, GCF of Fractions is 4/815796.Finally, GCF of Fractions for 928/68, 196/86, 908/558 is 4/815796.