GCF of 384/295, 7657/330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 384/295, 7657/330 i.e 1/19470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 384/295, 7657/330.
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 384/295,7657/330?
Given fractions are 384/295,7657/330
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 384/295,7657/330, numerators are 384,7657
Denominators are 295,330
The GCF of 384,7657 is 1 .
LCM of 295,330 is 19470.
The greatest common factor of 384/295,7657/330 = [GCF of 384,7657]/[LCM of 295,330]= 1/19470
Therefore, the GCF of 384/295,7657/330 is 1/19470.
To find the highest common factor of 384,7657, we have to find the factors of both numbers and list the highest common factor.
The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
The factors of 7657 are 1, 13, 19, 31, 247, 403, 589, 7657
The HCF of 384,7657 is 1.
Lets's calculate GCF of 384,7657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 384,7657 By Matching Biggest Common Factor Method
Now, list down the factors of 384
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Now, list down the factors of 7657
:1,13,19,31,247,403,589,7657
Greatest Common Factor
We found the factors 384,7657 . The biggest common factor number is the GCF number.
So the greatest common factor 384,7657 is 1.
Lets's calculate LCM of 295,330
| 5 | 295, 330 |
| 59, 66 |
∴ So the LCM of the given numbers is 5 x 59 x 66 = 19470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19470
Therefore, the GCF of Fractions 384/295,7657/330 is 1/19470
Least Common Multiple of 295,330 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 295,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,330) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,330) x common factors =5 x 1 = 5
LCM(295,330) = ( 295 × 330 ) / 5
LCM(295,330) = 97350 / 5
LCM(295,330) = 19470
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FAQs on GCF of Fractions of 384/295, 7657/330
1. What is the HCF of 384,7657?
The HCF of 384,7657 is 1
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 384/295, 7657/330?
Answer: GCF of Numerators as per given numbers 384/295, 7657/330 is
GCF of Numerators i.e. for 384,7657 is 1
LCM of denominators i.e. for 295,330 is 19470.
Thus, GCF of Fractions is 1/19470.Finally, GCF of Fractions for 384/295, 7657/330 is 1/19470.