GCF of 8736/254, 9232/2748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8736/254, 9232/2748 i.e 16/348996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8736/254, 9232/2748.
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 8736/254,9232/2748?
Given fractions are 8736/254,9232/2748
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 8736/254,9232/2748, numerators are 8736,9232
Denominators are 254,2748
The GCF of 8736,9232 is 16 .
LCM of 254,2748 is 348996.
The greatest common factor of 8736/254,9232/2748 = [GCF of 8736,9232]/[LCM of 254,2748]= 16/348996
Therefore, the GCF of 8736/254,9232/2748 is 16/348996.
To find the highest common factor of 8736,9232, we have to find the factors of both numbers and list the highest common factor.
The factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736
The factors of 9232 are 1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232
The HCF of 8736,9232 is 16.
Lets's calculate GCF of 8736,9232
| 2 | 8736, 9232 |
| 2 | 4368, 4616 |
| 2 | 2184, 2308 |
| 2 | 1092, 1154 |
| 546, 577 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8736,9232 By Matching Biggest Common Factor Method
Now, list down the factors of 8736
:1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,32,39,42,48,52,56,78,84,91,96,104,112,156,168,182,208,224,273,312,336,364,416,546,624,672,728,1092,1248,1456,2184,2912,4368,8736
Now, list down the factors of 9232
:1,2,4,8,16,577,1154,2308,4616,9232
Greatest Common Factor
We found the factors 8736,9232 . The biggest common factor number is the GCF number.
So the greatest common factor 8736,9232 is 16.
Lets's calculate LCM of 254,2748
| 2 | 254, 2748 |
| 127, 1374 |
∴ So the LCM of the given numbers is 2 x 127 x 1374 = 348996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/348996
Therefore, the GCF of Fractions 8736/254,9232/2748 is 16/348996
Least Common Multiple of 254,2748 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 254,2748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,2748) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,2748) x common factors =2 x 1 = 2
LCM(254,2748) = ( 254 × 2748 ) / 2
LCM(254,2748) = 697992 / 2
LCM(254,2748) = 348996
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FAQs on GCF of Fractions of 8736/254, 9232/2748
1. What is the HCF of 8736,9232?
The HCF of 8736,9232 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 8736/254, 9232/2748?
Answer: GCF of Numerators as per given numbers 8736/254, 9232/2748 is
GCF of Numerators i.e. for 8736,9232 is 16
LCM of denominators i.e. for 254,2748 is 348996.
Thus, GCF of Fractions is 16/348996.Finally, GCF of Fractions for 8736/254, 9232/2748 is 16/348996.