Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/45,808/98,928/27
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 92,808,928
Greatest Common Factor of Numerators i.e. GCF of 92,808,928 is 4 .
LCM of Denominators means LCM of 45,98,27 as per the given fractions.
LCM of 45,98,27 is 13230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,808,928
2 | 92, 808, 928 |
2 | 46, 404, 464 |
23, 202, 232 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
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
Greatest Common Factor
We found the factors 92,808,928 . The biggest common factor number is the GCF number.
So the greatest common factor 92,808,928 is 4.
Lets's calculate LCM of 45,98,27
3 | 45, 98, 27 |
3 | 15, 98, 9 |
5, 98, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 98 x 3 = 13230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13230
Therefore, the GCF of Fractions 92/45,808/98,928/27 is 4/13230
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 45,98,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,98,27) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(45,98,27) x common factors =1 x 9 = 9
LCM(45,98,27) = ( 45 × 98 × 27 ) / 9
LCM(45,98,27) = 119070 / 9
LCM(45,98,27) = 13230
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 92/45, 808/98, 928/27?
Answer: GCF of Numerators as per given numbers 92/45, 808/98, 928/27 is
GCF of Numerators i.e. for 92,808,928 is 4
LCM of denominators i.e. for 45,98,27 is 13230.
Thus, GCF of Fractions is 4/13230.Finally, GCF of Fractions for 92/45, 808/98, 928/27 is 4/13230.