Use our free GCF of Fractions Calculator tool to compute the GCF of 96/59, 867/66, 239/878 i.e 1/1709466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/59, 867/66, 239/878.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/59,867/66,239/878
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 96/59,867/66,239/878, numerators are 96,867,239
Denominators are 59,66,878
The GCF of 96,867,239 is 1 .
LCM of 59,66,878 is 1709466.
The greatest common factor of 96/59,867/66,239/878 = [GCF of 96,867,239]/[LCM of 59,66,878]= 1/1709466
Therefore, the GCF of 96/59,867/66,239/878 is 1/1709466.
To find the highest common factor of 96,867,239, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 239 are 1, 239
The HCF of 96,867,239 is 1.
Lets's calculate GCF of 96,867,239
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 239
:1,239
Greatest Common Factor
We found the factors 96,867,239 . The biggest common factor number is the GCF number.
So the greatest common factor 96,867,239 is 1.
Lets's calculate LCM of 59,66,878
2 | 59, 66, 878 |
59, 33, 439 |
∴ So the LCM of the given numbers is 2 x 59 x 33 x 439 = 1709466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1709466
Therefore, the GCF of Fractions 96/59,867/66,239/878 is 1/1709466
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 59,66,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,66,878) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(59,66,878) x common factors =1 x 2 = 2
LCM(59,66,878) = ( 59 × 66 × 878 ) / 2
LCM(59,66,878) = 3418932 / 2
LCM(59,66,878) = 1709466
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,867,239?
The HCF of 96,867,239 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 96/59, 867/66, 239/878?
Answer: GCF of Numerators as per given numbers 96/59, 867/66, 239/878 is
GCF of Numerators i.e. for 96,867,239 is 1
LCM of denominators i.e. for 59,66,878 is 1709466.
Thus, GCF of Fractions is 1/1709466.Finally, GCF of Fractions for 96/59, 867/66, 239/878 is 1/1709466.