GCF of 3248/239, 7008/9515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3248/239, 7008/9515 i.e 16/2274085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3248/239, 7008/9515.
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 3248/239,7008/9515?
Given fractions are 3248/239,7008/9515
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 3248/239,7008/9515, numerators are 3248,7008
Denominators are 239,9515
The GCF of 3248,7008 is 16 .
LCM of 239,9515 is 2274085.
The greatest common factor of 3248/239,7008/9515 = [GCF of 3248,7008]/[LCM of 239,9515]= 16/2274085
Therefore, the GCF of 3248/239,7008/9515 is 16/2274085.
To find the highest common factor of 3248,7008, we have to find the factors of both numbers and list the highest common factor.
The factors of 3248 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248
The factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008
The HCF of 3248,7008 is 16.
Lets's calculate GCF of 3248,7008
| 2 | 3248, 7008 |
| 2 | 1624, 3504 |
| 2 | 812, 1752 |
| 2 | 406, 876 |
| 203, 438 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 3248,7008 By Matching Biggest Common Factor Method
Now, list down the factors of 3248
:1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248
Now, list down the factors of 7008
:1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008
Greatest Common Factor
We found the factors 3248,7008 . The biggest common factor number is the GCF number.
So the greatest common factor 3248,7008 is 16.
Lets's calculate LCM of 239,9515
Given numbers has no common factors except 1. So, there LCM is their product i.e 2274085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2274085
Therefore, the GCF of Fractions 3248/239,7008/9515 is 16/2274085
Least Common Multiple of 239,9515 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 239,9515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,9515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,9515) x common factors =1 x 1 = 1
LCM(239,9515) = ( 239 × 9515 ) / 1
LCM(239,9515) = 2274085 / 1
LCM(239,9515) = 2274085
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FAQs on GCF of Fractions of 3248/239, 7008/9515
1. What is the HCF of 3248,7008?
The HCF of 3248,7008 is 16
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 3248/239, 7008/9515?
Answer: GCF of Numerators as per given numbers 3248/239, 7008/9515 is
GCF of Numerators i.e. for 3248,7008 is 16
LCM of denominators i.e. for 239,9515 is 2274085.
Thus, GCF of Fractions is 16/2274085.Finally, GCF of Fractions for 3248/239, 7008/9515 is 16/2274085.