GCF of 4160/870, 5057/8135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4160/870, 5057/8135 i.e 13/1415490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4160/870, 5057/8135.
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 4160/870,5057/8135?
Given fractions are 4160/870,5057/8135
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 4160/870,5057/8135, numerators are 4160,5057
Denominators are 870,8135
The GCF of 4160,5057 is 13 .
LCM of 870,8135 is 1415490.
The greatest common factor of 4160/870,5057/8135 = [GCF of 4160,5057]/[LCM of 870,8135]= 13/1415490
Therefore, the GCF of 4160/870,5057/8135 is 13/1415490.
To find the highest common factor of 4160,5057, 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 5057 are 1, 13, 389, 5057
The HCF of 4160,5057 is 13.
Lets's calculate GCF of 4160,5057
| 13 | 4160, 5057 |
| 320, 389 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4160,5057 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 5057
:1,13,389,5057
Greatest Common Factor
We found the factors 4160,5057 . The biggest common factor number is the GCF number.
So the greatest common factor 4160,5057 is 13.
Lets's calculate LCM of 870,8135
| 5 | 870, 8135 |
| 174, 1627 |
∴ So the LCM of the given numbers is 5 x 174 x 1627 = 1415490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1415490
Therefore, the GCF of Fractions 4160/870,5057/8135 is 13/1415490
Least Common Multiple of 870,8135 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 870,8135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,8135) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(870,8135) x common factors =5 x 1 = 5
LCM(870,8135) = ( 870 × 8135 ) / 5
LCM(870,8135) = 7077450 / 5
LCM(870,8135) = 1415490
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FAQs on GCF of Fractions of 4160/870, 5057/8135
1. What is the HCF of 4160,5057?
The HCF of 4160,5057 is 13
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 4160/870, 5057/8135?
Answer: GCF of Numerators as per given numbers 4160/870, 5057/8135 is
GCF of Numerators i.e. for 4160,5057 is 13
LCM of denominators i.e. for 870,8135 is 1415490.
Thus, GCF of Fractions is 13/1415490.Finally, GCF of Fractions for 4160/870, 5057/8135 is 13/1415490.