Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/278,260/164,798/908
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 48,260,798
Greatest Common Factor of Numerators i.e. GCF of 48,260,798 is 2 .
LCM of Denominators means LCM of 278,164,908 as per the given fractions.
LCM of 278,164,908 is 5174692 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,260,798
2 | 48, 260, 798 |
24, 130, 399 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 48,260,798 . The biggest common factor number is the GCF number.
So the greatest common factor 48,260,798 is 2.
Lets's calculate LCM of 278,164,908
2 | 278, 164, 908 |
2 | 139, 82, 454 |
139, 41, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 139 x 41 x 227 = 5174692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5174692
Therefore, the GCF of Fractions 48/278,260/164,798/908 is 2/5174692
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 278,164,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,164,908) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(278,164,908) x common factors =2 x 4 = 8
LCM(278,164,908) = ( 278 × 164 × 908 ) / 8
LCM(278,164,908) = 41397536 / 8
LCM(278,164,908) = 5174692
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 48/278, 260/164, 798/908?
Answer: GCF of Numerators as per given numbers 48/278, 260/164, 798/908 is
GCF of Numerators i.e. for 48,260,798 is 2
LCM of denominators i.e. for 278,164,908 is 5174692.
Thus, GCF of Fractions is 2/5174692.Finally, GCF of Fractions for 48/278, 260/164, 798/908 is 2/5174692.