GCF of 4935/486, 4215/7335
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4935/486, 4215/7335 i.e 15/396090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4935/486, 4215/7335.
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 4935/486,4215/7335?
Given fractions are 4935/486,4215/7335
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 4935/486,4215/7335, numerators are 4935,4215
Denominators are 486,7335
The GCF of 4935,4215 is 15 .
LCM of 486,7335 is 396090.
The greatest common factor of 4935/486,4215/7335 = [GCF of 4935,4215]/[LCM of 486,7335]= 15/396090
Therefore, the GCF of 4935/486,4215/7335 is 15/396090.
To find the highest common factor of 4935,4215, we have to find the factors of both numbers and list the highest common factor.
The factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935
The factors of 4215 are 1, 3, 5, 15, 281, 843, 1405, 4215
The HCF of 4935,4215 is 15.
Lets's calculate GCF of 4935,4215
| 3 | 4935, 4215 |
| 5 | 1645, 1405 |
| 329, 281 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4935,4215 By Matching Biggest Common Factor Method
Now, list down the factors of 4935
:1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935
Now, list down the factors of 4215
:1,3,5,15,281,843,1405,4215
Greatest Common Factor
We found the factors 4935,4215 . The biggest common factor number is the GCF number.
So the greatest common factor 4935,4215 is 15.
Lets's calculate LCM of 486,7335
| 3 | 486, 7335 |
| 3 | 162, 2445 |
| 54, 815 |
∴ So the LCM of the given numbers is 3 x 3 x 54 x 815 = 396090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/396090
Therefore, the GCF of Fractions 4935/486,4215/7335 is 15/396090
Least Common Multiple of 486,7335 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 486,7335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,7335) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(486,7335) x common factors =9 x 1 = 9
LCM(486,7335) = ( 486 × 7335 ) / 9
LCM(486,7335) = 3564810 / 9
LCM(486,7335) = 396090
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FAQs on GCF of Fractions of 4935/486, 4215/7335
1. What is the HCF of 4935,4215?
The HCF of 4935,4215 is 15
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 4935/486, 4215/7335?
Answer: GCF of Numerators as per given numbers 4935/486, 4215/7335 is
GCF of Numerators i.e. for 4935,4215 is 15
LCM of denominators i.e. for 486,7335 is 396090.
Thus, GCF of Fractions is 15/396090.Finally, GCF of Fractions for 4935/486, 4215/7335 is 15/396090.