Use our free GCF of Fractions Calculator tool to compute the GCF of 116/768, 145/472 i.e 29/45312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 116/768, 145/472.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 116/768,145/472
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 116/768,145/472, numerators are 116,145
Denominators are 768,472
The GCF of 116,145 is 29 .
LCM of 768,472 is 45312.
The greatest common factor of 116/768,145/472 = [GCF of 116,145]/[LCM of 768,472]= 29/45312
Therefore, the GCF of 116/768,145/472 is 29/45312.
To find the highest common factor of 116,145, we have to find the factors of both numbers and list the highest common factor.
The factors of 116 are 1, 2, 4, 29, 58, 116
The factors of 145 are 1, 5, 29, 145
The HCF of 116,145 is 29.
Lets's calculate GCF of 116,145
29 | 116, 145 |
4, 5 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 116
:1,2,4,29,58,116
Now, list down the factors of 145
:1,5,29,145
Greatest Common Factor
We found the factors 116,145 . The biggest common factor number is the GCF number.
So the greatest common factor 116,145 is 29.
Lets's calculate LCM of 768,472
2 | 768, 472 |
2 | 384, 236 |
2 | 192, 118 |
96, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 96 x 59 = 45312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/45312
Therefore, the GCF of Fractions 116/768,145/472 is 29/45312
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 768,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,472) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(768,472) x common factors =8 x 1 = 8
LCM(768,472) = ( 768 × 472 ) / 8
LCM(768,472) = 362496 / 8
LCM(768,472) = 45312
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 116,145?
The HCF of 116,145 is 29
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 116/768, 145/472?
Answer: GCF of Numerators as per given numbers 116/768, 145/472 is
GCF of Numerators i.e. for 116,145 is 29
LCM of denominators i.e. for 768,472 is 45312.
Thus, GCF of Fractions is 29/45312.Finally, GCF of Fractions for 116/768, 145/472 is 29/45312.