GCF of 8720/665, 4752/9160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8720/665, 4752/9160 i.e 16/1218280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8720/665, 4752/9160.
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 8720/665,4752/9160?
Given fractions are 8720/665,4752/9160
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 8720/665,4752/9160, numerators are 8720,4752
Denominators are 665,9160
The GCF of 8720,4752 is 16 .
LCM of 665,9160 is 1218280.
The greatest common factor of 8720/665,4752/9160 = [GCF of 8720,4752]/[LCM of 665,9160]= 16/1218280
Therefore, the GCF of 8720/665,4752/9160 is 16/1218280.
To find the highest common factor of 8720,4752, we have to find the factors of both numbers and list the highest common factor.
The factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720
The factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752
The HCF of 8720,4752 is 16.
Lets's calculate GCF of 8720,4752
| 2 | 8720, 4752 |
| 2 | 4360, 2376 |
| 2 | 2180, 1188 |
| 2 | 1090, 594 |
| 545, 297 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8720,4752 By Matching Biggest Common Factor Method
Now, list down the factors of 8720
:1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720
Now, list down the factors of 4752
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752
Greatest Common Factor
We found the factors 8720,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 8720,4752 is 16.
Lets's calculate LCM of 665,9160
| 5 | 665, 9160 |
| 133, 1832 |
∴ So the LCM of the given numbers is 5 x 133 x 1832 = 1218280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1218280
Therefore, the GCF of Fractions 8720/665,4752/9160 is 16/1218280
Least Common Multiple of 665,9160 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 665,9160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,9160) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(665,9160) x common factors =5 x 1 = 5
LCM(665,9160) = ( 665 × 9160 ) / 5
LCM(665,9160) = 6091400 / 5
LCM(665,9160) = 1218280
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8720/665, 4752/9160
1. What is the HCF of 8720,4752?
The HCF of 8720,4752 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 8720/665, 4752/9160?
Answer: GCF of Numerators as per given numbers 8720/665, 4752/9160 is
GCF of Numerators i.e. for 8720,4752 is 16
LCM of denominators i.e. for 665,9160 is 1218280.
Thus, GCF of Fractions is 16/1218280.Finally, GCF of Fractions for 8720/665, 4752/9160 is 16/1218280.