GCF of 5232/903, 8688/258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5232/903, 8688/258 i.e 48/1806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5232/903, 8688/258.
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 5232/903,8688/258?
Given fractions are 5232/903,8688/258
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 5232/903,8688/258, numerators are 5232,8688
Denominators are 903,258
The GCF of 5232,8688 is 48 .
LCM of 903,258 is 1806.
The greatest common factor of 5232/903,8688/258 = [GCF of 5232,8688]/[LCM of 903,258]= 48/1806
Therefore, the GCF of 5232/903,8688/258 is 48/1806.
To find the highest common factor of 5232,8688, we have to find the factors of both numbers and list the highest common factor.
The factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232
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 5232,8688 is 48.
Lets's calculate GCF of 5232,8688
| 2 | 5232, 8688 |
| 2 | 2616, 4344 |
| 2 | 1308, 2172 |
| 2 | 654, 1086 |
| 3 | 327, 543 |
| 109, 181 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 5232,8688 By Matching Biggest Common Factor Method
Now, list down the factors of 5232
:1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
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 5232,8688 . The biggest common factor number is the GCF number.
So the greatest common factor 5232,8688 is 48.
Lets's calculate LCM of 903,258
| 3 | 903, 258 |
| 43 | 301, 86 |
| 7, 2 |
∴ So the LCM of the given numbers is 3 x 43 x 7 x 2 = 1806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/1806
Therefore, the GCF of Fractions 5232/903,8688/258 is 48/1806
Least Common Multiple of 903,258 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 903,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,258) = 129
common factors(in case of two or more numbers have common factors) = 1
GCF(903,258) x common factors =129 x 1 = 129
LCM(903,258) = ( 903 × 258 ) / 129
LCM(903,258) = 232974 / 129
LCM(903,258) = 1806
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FAQs on GCF of Fractions of 5232/903, 8688/258
1. What is the HCF of 5232,8688?
The HCF of 5232,8688 is 48
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 5232/903, 8688/258?
Answer: GCF of Numerators as per given numbers 5232/903, 8688/258 is
GCF of Numerators i.e. for 5232,8688 is 48
LCM of denominators i.e. for 903,258 is 1806.
Thus, GCF of Fractions is 48/1806.Finally, GCF of Fractions for 5232/903, 8688/258 is 48/1806.