GCF of 8736/714, 4080/997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8736/714, 4080/997 i.e 48/711858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8736/714, 4080/997.
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 8736/714,4080/997?
Given fractions are 8736/714,4080/997
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 8736/714,4080/997, numerators are 8736,4080
Denominators are 714,997
The GCF of 8736,4080 is 48 .
LCM of 714,997 is 711858.
The greatest common factor of 8736/714,4080/997 = [GCF of 8736,4080]/[LCM of 714,997]= 48/711858
Therefore, the GCF of 8736/714,4080/997 is 48/711858.
To find the highest common factor of 8736,4080, 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 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The HCF of 8736,4080 is 48.
Lets's calculate GCF of 8736,4080
| 2 | 8736, 4080 |
| 2 | 4368, 2040 |
| 2 | 2184, 1020 |
| 2 | 1092, 510 |
| 3 | 546, 255 |
| 182, 85 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 8736,4080 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 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 8736,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 8736,4080 is 48.
Lets's calculate LCM of 714,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 711858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/711858
Therefore, the GCF of Fractions 8736/714,4080/997 is 48/711858
Least Common Multiple of 714,997 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 714,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(714,997) x common factors =1 x 1 = 1
LCM(714,997) = ( 714 × 997 ) / 1
LCM(714,997) = 711858 / 1
LCM(714,997) = 711858
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FAQs on GCF of Fractions of 8736/714, 4080/997
1. What is the HCF of 8736,4080?
The HCF of 8736,4080 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 8736/714, 4080/997?
Answer: GCF of Numerators as per given numbers 8736/714, 4080/997 is
GCF of Numerators i.e. for 8736,4080 is 48
LCM of denominators i.e. for 714,997 is 711858.
Thus, GCF of Fractions is 48/711858.Finally, GCF of Fractions for 8736/714, 4080/997 is 48/711858.