GCF of 9336/75, 8228/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9336/75, 8228/235 i.e 4/3525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9336/75, 8228/235.
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 9336/75,8228/235?
Given fractions are 9336/75,8228/235
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 9336/75,8228/235, numerators are 9336,8228
Denominators are 75,235
The GCF of 9336,8228 is 4 .
LCM of 75,235 is 3525.
The greatest common factor of 9336/75,8228/235 = [GCF of 9336,8228]/[LCM of 75,235]= 4/3525
Therefore, the GCF of 9336/75,8228/235 is 4/3525.
To find the highest common factor of 9336,8228, we have to find the factors of both numbers and list the highest common factor.
The factors of 9336 are 1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336
The factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
The HCF of 9336,8228 is 4.
Lets's calculate GCF of 9336,8228
| 2 | 9336, 8228 |
| 2 | 4668, 4114 |
| 2334, 2057 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9336,8228 By Matching Biggest Common Factor Method
Now, list down the factors of 9336
:1,2,3,4,6,8,12,24,389,778,1167,1556,2334,3112,4668,9336
Now, list down the factors of 8228
:1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Greatest Common Factor
We found the factors 9336,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 9336,8228 is 4.
Lets's calculate LCM of 75,235
| 5 | 75, 235 |
| 15, 47 |
∴ So the LCM of the given numbers is 5 x 15 x 47 = 3525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3525
Therefore, the GCF of Fractions 9336/75,8228/235 is 4/3525
Least Common Multiple of 75,235 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 75,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,235) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(75,235) x common factors =5 x 1 = 5
LCM(75,235) = ( 75 × 235 ) / 5
LCM(75,235) = 17625 / 5
LCM(75,235) = 3525
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FAQs on GCF of Fractions of 9336/75, 8228/235
1. What is the HCF of 9336,8228?
The HCF of 9336,8228 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 9336/75, 8228/235?
Answer: GCF of Numerators as per given numbers 9336/75, 8228/235 is
GCF of Numerators i.e. for 9336,8228 is 4
LCM of denominators i.e. for 75,235 is 3525.
Thus, GCF of Fractions is 4/3525.Finally, GCF of Fractions for 9336/75, 8228/235 is 4/3525.