GCF of 2264/548, 8688/4247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2264/548, 8688/4247 i.e 8/16988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2264/548, 8688/4247.
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 2264/548,8688/4247?
Given fractions are 2264/548,8688/4247
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 2264/548,8688/4247, numerators are 2264,8688
Denominators are 548,4247
The GCF of 2264,8688 is 8 .
LCM of 548,4247 is 16988.
The greatest common factor of 2264/548,8688/4247 = [GCF of 2264,8688]/[LCM of 548,4247]= 8/16988
Therefore, the GCF of 2264/548,8688/4247 is 8/16988.
To find the highest common factor of 2264,8688, we have to find the factors of both numbers and list the highest common factor.
The factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264
The factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688
The HCF of 2264,8688 is 8.
Lets's calculate GCF of 2264,8688
| 2 | 2264, 8688 |
| 2 | 1132, 4344 |
| 2 | 566, 2172 |
| 283, 1086 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2264,8688 By Matching Biggest Common Factor Method
Now, list down the factors of 2264
:1,2,4,8,283,566,1132,2264
Now, list down the factors of 8688
:1,2,3,4,6,8,12,16,24,48,181,362,543,724,1086,1448,2172,2896,4344,8688
Greatest Common Factor
We found the factors 2264,8688 . The biggest common factor number is the GCF number.
So the greatest common factor 2264,8688 is 8.
Lets's calculate LCM of 548,4247
| 137 | 548, 4247 |
| 4, 31 |
∴ So the LCM of the given numbers is 137 x 4 x 31 = 16988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/16988
Therefore, the GCF of Fractions 2264/548,8688/4247 is 8/16988
Least Common Multiple of 548,4247 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 548,4247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,4247) = 137
common factors(in case of two or more numbers have common factors) = 1
GCF(548,4247) x common factors =137 x 1 = 137
LCM(548,4247) = ( 548 × 4247 ) / 137
LCM(548,4247) = 2327356 / 137
LCM(548,4247) = 16988
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FAQs on GCF of Fractions of 2264/548, 8688/4247
1. What is the HCF of 2264,8688?
The HCF of 2264,8688 is 8
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 2264/548, 8688/4247?
Answer: GCF of Numerators as per given numbers 2264/548, 8688/4247 is
GCF of Numerators i.e. for 2264,8688 is 8
LCM of denominators i.e. for 548,4247 is 16988.
Thus, GCF of Fractions is 8/16988.Finally, GCF of Fractions for 2264/548, 8688/4247 is 8/16988.