GCF of 9586/738, 8928/663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9586/738, 8928/663 i.e 2/163098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9586/738, 8928/663.
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 9586/738,8928/663?
Given fractions are 9586/738,8928/663
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 9586/738,8928/663, numerators are 9586,8928
Denominators are 738,663
The GCF of 9586,8928 is 2 .
LCM of 738,663 is 163098.
The greatest common factor of 9586/738,8928/663 = [GCF of 9586,8928]/[LCM of 738,663]= 2/163098
Therefore, the GCF of 9586/738,8928/663 is 2/163098.
To find the highest common factor of 9586,8928, we have to find the factors of both numbers and list the highest common factor.
The factors of 9586 are 1, 2, 4793, 9586
The factors of 8928 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 72, 93, 96, 124, 144, 186, 248, 279, 288, 372, 496, 558, 744, 992, 1116, 1488, 2232, 2976, 4464, 8928
The HCF of 9586,8928 is 2.
Lets's calculate GCF of 9586,8928
| 2 | 9586, 8928 |
| 4793, 4464 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9586,8928 By Matching Biggest Common Factor Method
Now, list down the factors of 9586
:1,2,4793,9586
Now, list down the factors of 8928
:1,2,3,4,6,8,9,12,16,18,24,31,32,36,48,62,72,93,96,124,144,186,248,279,288,372,496,558,744,992,1116,1488,2232,2976,4464,8928
Greatest Common Factor
We found the factors 9586,8928 . The biggest common factor number is the GCF number.
So the greatest common factor 9586,8928 is 2.
Lets's calculate LCM of 738,663
| 3 | 738, 663 |
| 246, 221 |
∴ So the LCM of the given numbers is 3 x 246 x 221 = 163098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/163098
Therefore, the GCF of Fractions 9586/738,8928/663 is 2/163098
Least Common Multiple of 738,663 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 738,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,663) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(738,663) x common factors =3 x 1 = 3
LCM(738,663) = ( 738 × 663 ) / 3
LCM(738,663) = 489294 / 3
LCM(738,663) = 163098
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FAQs on GCF of Fractions of 9586/738, 8928/663
1. What is the HCF of 9586,8928?
The HCF of 9586,8928 is 2
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 9586/738, 8928/663?
Answer: GCF of Numerators as per given numbers 9586/738, 8928/663 is
GCF of Numerators i.e. for 9586,8928 is 2
LCM of denominators i.e. for 738,663 is 163098.
Thus, GCF of Fractions is 2/163098.Finally, GCF of Fractions for 9586/738, 8928/663 is 2/163098.