GCF of 808/416, 513/560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 808/416, 513/560 i.e 1/14560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 808/416, 513/560.
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 808/416,513/560?
Given fractions are 808/416,513/560
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 808/416,513/560, numerators are 808,513
Denominators are 416,560
The GCF of 808,513 is 1 .
LCM of 416,560 is 14560.
The greatest common factor of 808/416,513/560 = [GCF of 808,513]/[LCM of 416,560]= 1/14560
Therefore, the GCF of 808/416,513/560 is 1/14560.
To find the highest common factor of 808,513, we have to find the factors of both numbers and list the highest common factor.
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 808,513 is 1.
Lets's calculate GCF of 808,513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 808,513 By Matching Biggest Common Factor Method
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 808,513 . The biggest common factor number is the GCF number.
So the greatest common factor 808,513 is 1.
Lets's calculate LCM of 416,560
| 2 | 416, 560 |
| 2 | 208, 280 |
| 2 | 104, 140 |
| 2 | 52, 70 |
| 26, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 26 x 35 = 14560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14560
Therefore, the GCF of Fractions 808/416,513/560 is 1/14560
Least Common Multiple of 416,560 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 416,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,560) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(416,560) x common factors =16 x 1 = 16
LCM(416,560) = ( 416 × 560 ) / 16
LCM(416,560) = 232960 / 16
LCM(416,560) = 14560
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FAQs on GCF of Fractions of 808/416, 513/560
1. What is the HCF of 808,513?
The HCF of 808,513 is 1
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 808/416, 513/560?
Answer: GCF of Numerators as per given numbers 808/416, 513/560 is
GCF of Numerators i.e. for 808,513 is 1
LCM of denominators i.e. for 416,560 is 14560.
Thus, GCF of Fractions is 1/14560.Finally, GCF of Fractions for 808/416, 513/560 is 1/14560.