GCF of 9383/624, 3264/768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9383/624, 3264/768 i.e 1/9984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9383/624, 3264/768.
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 9383/624,3264/768?
Given fractions are 9383/624,3264/768
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 9383/624,3264/768, numerators are 9383,3264
Denominators are 624,768
The GCF of 9383,3264 is 1 .
LCM of 624,768 is 9984.
The greatest common factor of 9383/624,3264/768 = [GCF of 9383,3264]/[LCM of 624,768]= 1/9984
Therefore, the GCF of 9383/624,3264/768 is 1/9984.
To find the highest common factor of 9383,3264, we have to find the factors of both numbers and list the highest common factor.
The factors of 9383 are 1, 11, 853, 9383
The factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264
The HCF of 9383,3264 is 1.
Lets's calculate GCF of 9383,3264
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9383,3264 By Matching Biggest Common Factor Method
Now, list down the factors of 9383
:1,11,853,9383
Now, list down the factors of 3264
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,136,192,204,272,408,544,816,1088,1632,3264
Greatest Common Factor
We found the factors 9383,3264 . The biggest common factor number is the GCF number.
So the greatest common factor 9383,3264 is 1.
Lets's calculate LCM of 624,768
| 2 | 624, 768 |
| 2 | 312, 384 |
| 2 | 156, 192 |
| 2 | 78, 96 |
| 3 | 39, 48 |
| 13, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 13 x 16 = 9984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9984
Therefore, the GCF of Fractions 9383/624,3264/768 is 1/9984
Least Common Multiple of 624,768 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 624,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,768) = 48
common factors(in case of two or more numbers have common factors) = 1
GCF(624,768) x common factors =48 x 1 = 48
LCM(624,768) = ( 624 × 768 ) / 48
LCM(624,768) = 479232 / 48
LCM(624,768) = 9984
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FAQs on GCF of Fractions of 9383/624, 3264/768
1. What is the HCF of 9383,3264?
The HCF of 9383,3264 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 9383/624, 3264/768?
Answer: GCF of Numerators as per given numbers 9383/624, 3264/768 is
GCF of Numerators i.e. for 9383,3264 is 1
LCM of denominators i.e. for 624,768 is 9984.
Thus, GCF of Fractions is 1/9984.Finally, GCF of Fractions for 9383/624, 3264/768 is 1/9984.