GCF of 8110/705, 5920/352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8110/705, 5920/352 i.e 10/248160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8110/705, 5920/352.
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 8110/705,5920/352?
Given fractions are 8110/705,5920/352
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 8110/705,5920/352, numerators are 8110,5920
Denominators are 705,352
The GCF of 8110,5920 is 10 .
LCM of 705,352 is 248160.
The greatest common factor of 8110/705,5920/352 = [GCF of 8110,5920]/[LCM of 705,352]= 10/248160
Therefore, the GCF of 8110/705,5920/352 is 10/248160.
To find the highest common factor of 8110,5920, we have to find the factors of both numbers and list the highest common factor.
The factors of 8110 are 1, 2, 5, 10, 811, 1622, 4055, 8110
The factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920
The HCF of 8110,5920 is 10.
Lets's calculate GCF of 8110,5920
| 2 | 8110, 5920 |
| 5 | 4055, 2960 |
| 811, 592 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8110,5920 By Matching Biggest Common Factor Method
Now, list down the factors of 8110
:1,2,5,10,811,1622,4055,8110
Now, list down the factors of 5920
:1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920
Greatest Common Factor
We found the factors 8110,5920 . The biggest common factor number is the GCF number.
So the greatest common factor 8110,5920 is 10.
Lets's calculate LCM of 705,352
Given numbers has no common factors except 1. So, there LCM is their product i.e 248160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/248160
Therefore, the GCF of Fractions 8110/705,5920/352 is 10/248160
Least Common Multiple of 705,352 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 705,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,352) x common factors =1 x 1 = 1
LCM(705,352) = ( 705 × 352 ) / 1
LCM(705,352) = 248160 / 1
LCM(705,352) = 248160
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FAQs on GCF of Fractions of 8110/705, 5920/352
1. What is the HCF of 8110,5920?
The HCF of 8110,5920 is 10
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 8110/705, 5920/352?
Answer: GCF of Numerators as per given numbers 8110/705, 5920/352 is
GCF of Numerators i.e. for 8110,5920 is 10
LCM of denominators i.e. for 705,352 is 248160.
Thus, GCF of Fractions is 10/248160.Finally, GCF of Fractions for 8110/705, 5920/352 is 10/248160.