GCF of 96/64, 44/180, 388/578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/64, 44/180, 388/578 i.e 4/832320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/64, 44/180, 388/578.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 96/64,44/180,388/578?
Given fractions are 96/64,44/180,388/578
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 96/64,44/180,388/578, numerators are 96,44,388
Denominators are 64,180,578
The GCF of 96,44,388 is 4 .
LCM of 64,180,578 is 832320.
The greatest common factor of 96/64,44/180,388/578 = [GCF of 96,44,388]/[LCM of 64,180,578]= 4/832320
Therefore, the GCF of 96/64,44/180,388/578 is 4/832320.
To find the highest common factor of 96,44,388, 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 44 are 1, 2, 4, 11, 22, 44
The factors of 388 are 1, 2, 4, 97, 194, 388
The HCF of 96,44,388 is 4.
Lets's calculate GCF of 96,44,388
| 2 | 96, 44, 388 |
| 2 | 48, 22, 194 |
| 24, 11, 97 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 96,44,388 By Matching Biggest Common Factor Method
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 44
:1,2,4,11,22,44
Now, list down the factors of 388
:1,2,4,97,194,388
Greatest Common Factor
We found the factors 96,44,388 . The biggest common factor number is the GCF number.
So the greatest common factor 96,44,388 is 4.
Lets's calculate LCM of 64,180,578
| 2 | 64, 180, 578 |
| 2 | 32, 90, 289 |
| 16, 45, 289 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 45 x 289 = 832320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/832320
Therefore, the GCF of Fractions 96/64,44/180,388/578 is 4/832320
Least Common Multiple of 64,180,578 with GCF Formula
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 64,180,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,180,578) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(64,180,578) x common factors =2 x 4 = 8
LCM(64,180,578) = ( 64 × 180 × 578 ) / 8
LCM(64,180,578) = 6658560 / 8
LCM(64,180,578) = 832320
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FAQs on GCF of Fractions of 96/64, 44/180, 388/578
1. What is the HCF of 96,44,388?
The HCF of 96,44,388 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 96/64, 44/180, 388/578?
Answer: GCF of Numerators as per given numbers 96/64, 44/180, 388/578 is
GCF of Numerators i.e. for 96,44,388 is 4
LCM of denominators i.e. for 64,180,578 is 832320.
Thus, GCF of Fractions is 4/832320.Finally, GCF of Fractions for 96/64, 44/180, 388/578 is 4/832320.