GCF of 5486/715, 8514/145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5486/715, 8514/145 i.e 2/20735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5486/715, 8514/145.
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 5486/715,8514/145?
Given fractions are 5486/715,8514/145
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 5486/715,8514/145, numerators are 5486,8514
Denominators are 715,145
The GCF of 5486,8514 is 2 .
LCM of 715,145 is 20735.
The greatest common factor of 5486/715,8514/145 = [GCF of 5486,8514]/[LCM of 715,145]= 2/20735
Therefore, the GCF of 5486/715,8514/145 is 2/20735.
To find the highest common factor of 5486,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486
The factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
The HCF of 5486,8514 is 2.
Lets's calculate GCF of 5486,8514
| 2 | 5486, 8514 |
| 2743, 4257 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5486,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 5486
:1,2,13,26,211,422,2743,5486
Now, list down the factors of 8514
:1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514
Greatest Common Factor
We found the factors 5486,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 5486,8514 is 2.
Lets's calculate LCM of 715,145
| 5 | 715, 145 |
| 143, 29 |
∴ So the LCM of the given numbers is 5 x 143 x 29 = 20735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20735
Therefore, the GCF of Fractions 5486/715,8514/145 is 2/20735
Least Common Multiple of 715,145 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 715,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,145) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,145) x common factors =5 x 1 = 5
LCM(715,145) = ( 715 × 145 ) / 5
LCM(715,145) = 103675 / 5
LCM(715,145) = 20735
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FAQs on GCF of Fractions of 5486/715, 8514/145
1. What is the HCF of 5486,8514?
The HCF of 5486,8514 is 2
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 5486/715, 8514/145?
Answer: GCF of Numerators as per given numbers 5486/715, 8514/145 is
GCF of Numerators i.e. for 5486,8514 is 2
LCM of denominators i.e. for 715,145 is 20735.
Thus, GCF of Fractions is 2/20735.Finally, GCF of Fractions for 5486/715, 8514/145 is 2/20735.