Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2950/584,6886/244
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 2950,6886
Greatest Common Factor of Numerators i.e. GCF of 2950,6886 is 2 .
LCM of Denominators means LCM of 584,244 as per the given fractions.
LCM of 584,244 is 35624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2950,6886
2 | 2950, 6886 |
1475, 3443 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2950
List of positive integer factors of 2950 that divides 2950 without a remainder.
1,2,5,10,25,50,59,118,295,590,1475,2950
Factors of 6886
List of positive integer factors of 6886 that divides 6886 without a remainder.
1,2,11,22,313,626,3443,6886
Greatest Common Factor
We found the factors 2950,6886 . The biggest common factor number is the GCF number.
So the greatest common factor 2950,6886 is 2.
Lets's calculate LCM of 584,244
2 | 584, 244 |
2 | 292, 122 |
146, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 146 x 61 = 35624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35624
Therefore, the GCF of Fractions 2950/584,6886/244 is 2/35624
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 584,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,244) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(584,244) x common factors =4 x 1 = 4
LCM(584,244) = ( 584 × 244 ) / 4
LCM(584,244) = 142496 / 4
LCM(584,244) = 35624
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 2950/584, 6886/244?
Answer: GCF of Numerators as per given numbers 2950/584, 6886/244 is
GCF of Numerators i.e. for 2950,6886 is 2
LCM of denominators i.e. for 584,244 is 35624.
Thus, GCF of Fractions is 2/35624.Finally, GCF of Fractions for 2950/584, 6886/244 is 2/35624.