GCF of 8116/415, 5496/185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8116/415, 5496/185 i.e 4/15355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8116/415, 5496/185.
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 8116/415,5496/185?
Given fractions are 8116/415,5496/185
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 8116/415,5496/185, numerators are 8116,5496
Denominators are 415,185
The GCF of 8116,5496 is 4 .
LCM of 415,185 is 15355.
The greatest common factor of 8116/415,5496/185 = [GCF of 8116,5496]/[LCM of 415,185]= 4/15355
Therefore, the GCF of 8116/415,5496/185 is 4/15355.
To find the highest common factor of 8116,5496, we have to find the factors of both numbers and list the highest common factor.
The factors of 8116 are 1, 2, 4, 2029, 4058, 8116
The factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496
The HCF of 8116,5496 is 4.
Lets's calculate GCF of 8116,5496
| 2 | 8116, 5496 |
| 2 | 4058, 2748 |
| 2029, 1374 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8116,5496 By Matching Biggest Common Factor Method
Now, list down the factors of 8116
:1,2,4,2029,4058,8116
Now, list down the factors of 5496
:1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496
Greatest Common Factor
We found the factors 8116,5496 . The biggest common factor number is the GCF number.
So the greatest common factor 8116,5496 is 4.
Lets's calculate LCM of 415,185
| 5 | 415, 185 |
| 83, 37 |
∴ So the LCM of the given numbers is 5 x 83 x 37 = 15355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15355
Therefore, the GCF of Fractions 8116/415,5496/185 is 4/15355
Least Common Multiple of 415,185 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 415,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,185) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,185) x common factors =5 x 1 = 5
LCM(415,185) = ( 415 × 185 ) / 5
LCM(415,185) = 76775 / 5
LCM(415,185) = 15355
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FAQs on GCF of Fractions of 8116/415, 5496/185
1. What is the HCF of 8116,5496?
The HCF of 8116,5496 is 4
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 8116/415, 5496/185?
Answer: GCF of Numerators as per given numbers 8116/415, 5496/185 is
GCF of Numerators i.e. for 8116,5496 is 4
LCM of denominators i.e. for 415,185 is 15355.
Thus, GCF of Fractions is 4/15355.Finally, GCF of Fractions for 8116/415, 5496/185 is 4/15355.