GCF of 4160/386, 8570/9291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4160/386, 8570/9291 i.e 10/3586326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4160/386, 8570/9291.
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 4160/386,8570/9291?
Given fractions are 4160/386,8570/9291
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 4160/386,8570/9291, numerators are 4160,8570
Denominators are 386,9291
The GCF of 4160,8570 is 10 .
LCM of 386,9291 is 3586326.
The greatest common factor of 4160/386,8570/9291 = [GCF of 4160,8570]/[LCM of 386,9291]= 10/3586326
Therefore, the GCF of 4160/386,8570/9291 is 10/3586326.
To find the highest common factor of 4160,8570, we have to find the factors of both numbers and list the highest common factor.
The factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160
The factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570
The HCF of 4160,8570 is 10.
Lets's calculate GCF of 4160,8570
| 2 | 4160, 8570 |
| 5 | 2080, 4285 |
| 416, 857 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4160,8570 By Matching Biggest Common Factor Method
Now, list down the factors of 4160
:1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Now, list down the factors of 8570
:1,2,5,10,857,1714,4285,8570
Greatest Common Factor
We found the factors 4160,8570 . The biggest common factor number is the GCF number.
So the greatest common factor 4160,8570 is 10.
Lets's calculate LCM of 386,9291
Given numbers has no common factors except 1. So, there LCM is their product i.e 3586326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3586326
Therefore, the GCF of Fractions 4160/386,8570/9291 is 10/3586326
Least Common Multiple of 386,9291 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 386,9291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,9291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,9291) x common factors =1 x 1 = 1
LCM(386,9291) = ( 386 × 9291 ) / 1
LCM(386,9291) = 3586326 / 1
LCM(386,9291) = 3586326
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FAQs on GCF of Fractions of 4160/386, 8570/9291
1. What is the HCF of 4160,8570?
The HCF of 4160,8570 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 4160/386, 8570/9291?
Answer: GCF of Numerators as per given numbers 4160/386, 8570/9291 is
GCF of Numerators i.e. for 4160,8570 is 10
LCM of denominators i.e. for 386,9291 is 3586326.
Thus, GCF of Fractions is 10/3586326.Finally, GCF of Fractions for 4160/386, 8570/9291 is 10/3586326.