Use our free GCF of Fractions Calculator tool to compute the GCF of 96/95, 328/75, 852/587 i.e 4/836475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/95, 328/75, 852/587.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/95,328/75,852/587
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 96/95,328/75,852/587, numerators are 96,328,852
Denominators are 95,75,587
The GCF of 96,328,852 is 4 .
LCM of 95,75,587 is 836475.
The greatest common factor of 96/95,328/75,852/587 = [GCF of 96,328,852]/[LCM of 95,75,587]= 4/836475
Therefore, the GCF of 96/95,328/75,852/587 is 4/836475.
To find the highest common factor of 96,328,852, 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 328 are 1, 2, 4, 8, 41, 82, 164, 328
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The HCF of 96,328,852 is 4.
Lets's calculate GCF of 96,328,852
2 | 96, 328, 852 |
2 | 48, 164, 426 |
24, 82, 213 |
∴ 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 328
:1,2,4,8,41,82,164,328
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 96,328,852 . The biggest common factor number is the GCF number.
So the greatest common factor 96,328,852 is 4.
Lets's calculate LCM of 95,75,587
5 | 95, 75, 587 |
19, 15, 587 |
∴ So the LCM of the given numbers is 5 x 19 x 15 x 587 = 836475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/836475
Therefore, the GCF of Fractions 96/95,328/75,852/587 is 4/836475
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 95,75,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,75,587) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(95,75,587) x common factors =1 x 5 = 5
LCM(95,75,587) = ( 95 × 75 × 587 ) / 5
LCM(95,75,587) = 4182375 / 5
LCM(95,75,587) = 836475
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,328,852?
The HCF of 96,328,852 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 96/95, 328/75, 852/587?
Answer: GCF of Numerators as per given numbers 96/95, 328/75, 852/587 is
GCF of Numerators i.e. for 96,328,852 is 4
LCM of denominators i.e. for 95,75,587 is 836475.
Thus, GCF of Fractions is 4/836475.Finally, GCF of Fractions for 96/95, 328/75, 852/587 is 4/836475.