Use our free GCF of Fractions Calculator tool to compute the GCF of 863/466, 228/150 i.e 1/34950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 863/466, 228/150.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 863/466,228/150
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 863/466,228/150, numerators are 863,228
Denominators are 466,150
The GCF of 863,228 is 1 .
LCM of 466,150 is 34950.
The greatest common factor of 863/466,228/150 = [GCF of 863,228]/[LCM of 466,150]= 1/34950
Therefore, the GCF of 863/466,228/150 is 1/34950.
To find the highest common factor of 863,228, we have to find the factors of both numbers and list the highest common factor.
The factors of 863 are 1, 863
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The HCF of 863,228 is 1.
Lets's calculate GCF of 863,228
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 863
:1,863
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 863,228 . The biggest common factor number is the GCF number.
So the greatest common factor 863,228 is 1.
Lets's calculate LCM of 466,150
2 | 466, 150 |
233, 75 |
∴ So the LCM of the given numbers is 2 x 233 x 75 = 34950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34950
Therefore, the GCF of Fractions 863/466,228/150 is 1/34950
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 466,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,150) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,150) x common factors =2 x 1 = 2
LCM(466,150) = ( 466 × 150 ) / 2
LCM(466,150) = 69900 / 2
LCM(466,150) = 34950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 863,228?
The HCF of 863,228 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 863/466, 228/150?
Answer: GCF of Numerators as per given numbers 863/466, 228/150 is
GCF of Numerators i.e. for 863,228 is 1
LCM of denominators i.e. for 466,150 is 34950.
Thus, GCF of Fractions is 1/34950.Finally, GCF of Fractions for 863/466, 228/150 is 1/34950.