Use our free GCF of Fractions Calculator tool to compute the GCF of 94/64, 706/51, 288/250 i.e 2/408000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/64, 706/51, 288/250.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/64,706/51,288/250
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 94/64,706/51,288/250, numerators are 94,706,288
Denominators are 64,51,250
The GCF of 94,706,288 is 2 .
LCM of 64,51,250 is 408000.
The greatest common factor of 94/64,706/51,288/250 = [GCF of 94,706,288]/[LCM of 64,51,250]= 2/408000
Therefore, the GCF of 94/64,706/51,288/250 is 2/408000.
To find the highest common factor of 94,706,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 706 are 1, 2, 353, 706
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 94,706,288 is 2.
Lets's calculate GCF of 94,706,288
2 | 94, 706, 288 |
47, 353, 144 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 706
:1,2,353,706
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 94,706,288 . The biggest common factor number is the GCF number.
So the greatest common factor 94,706,288 is 2.
Lets's calculate LCM of 64,51,250
2 | 64, 51, 250 |
32, 51, 125 |
∴ So the LCM of the given numbers is 2 x 32 x 51 x 125 = 408000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/408000
Therefore, the GCF of Fractions 94/64,706/51,288/250 is 2/408000
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 64,51,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,51,250) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,51,250) x common factors =1 x 2 = 2
LCM(64,51,250) = ( 64 × 51 × 250 ) / 2
LCM(64,51,250) = 816000 / 2
LCM(64,51,250) = 408000
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,706,288?
The HCF of 94,706,288 is 2
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 94/64, 706/51, 288/250?
Answer: GCF of Numerators as per given numbers 94/64, 706/51, 288/250 is
GCF of Numerators i.e. for 94,706,288 is 2
LCM of denominators i.e. for 64,51,250 is 408000.
Thus, GCF of Fractions is 2/408000.Finally, GCF of Fractions for 94/64, 706/51, 288/250 is 2/408000.