Use our free GCF of Fractions Calculator tool to compute the GCF of 96/40, 732/63, 440/992 i.e 4/312480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/40, 732/63, 440/992.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/40,732/63,440/992
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 96/40,732/63,440/992, numerators are 96,732,440
Denominators are 40,63,992
The GCF of 96,732,440 is 4 .
LCM of 40,63,992 is 312480.
The greatest common factor of 96/40,732/63,440/992 = [GCF of 96,732,440]/[LCM of 40,63,992]= 4/312480
Therefore, the GCF of 96/40,732/63,440/992 is 4/312480.
To find the highest common factor of 96,732,440, 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 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The HCF of 96,732,440 is 4.
Lets's calculate GCF of 96,732,440
2 | 96, 732, 440 |
2 | 48, 366, 220 |
24, 183, 110 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 732
:1,2,3,4,6,12,61,122,183,244,366,732
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 96,732,440 . The biggest common factor number is the GCF number.
So the greatest common factor 96,732,440 is 4.
Lets's calculate LCM of 40,63,992
2 | 40, 63, 992 |
2 | 20, 63, 496 |
2 | 10, 63, 248 |
5, 63, 124 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 63 x 124 = 312480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/312480
Therefore, the GCF of Fractions 96/40,732/63,440/992 is 4/312480
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 40,63,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,63,992) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(40,63,992) x common factors =1 x 8 = 8
LCM(40,63,992) = ( 40 × 63 × 992 ) / 8
LCM(40,63,992) = 2499840 / 8
LCM(40,63,992) = 312480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,732,440?
The HCF of 96,732,440 is 4
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 96/40, 732/63, 440/992?
Answer: GCF of Numerators as per given numbers 96/40, 732/63, 440/992 is
GCF of Numerators i.e. for 96,732,440 is 4
LCM of denominators i.e. for 40,63,992 is 312480.
Thus, GCF of Fractions is 4/312480.Finally, GCF of Fractions for 96/40, 732/63, 440/992 is 4/312480.