GCF of 6015/555, 3505/4919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6015/555, 3505/4919 i.e 5/2730045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6015/555, 3505/4919.
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 6015/555,3505/4919?
Given fractions are 6015/555,3505/4919
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 6015/555,3505/4919, numerators are 6015,3505
Denominators are 555,4919
The GCF of 6015,3505 is 5 .
LCM of 555,4919 is 2730045.
The greatest common factor of 6015/555,3505/4919 = [GCF of 6015,3505]/[LCM of 555,4919]= 5/2730045
Therefore, the GCF of 6015/555,3505/4919 is 5/2730045.
To find the highest common factor of 6015,3505, we have to find the factors of both numbers and list the highest common factor.
The factors of 6015 are 1, 3, 5, 15, 401, 1203, 2005, 6015
The factors of 3505 are 1, 5, 701, 3505
The HCF of 6015,3505 is 5.
Lets's calculate GCF of 6015,3505
| 5 | 6015, 3505 |
| 1203, 701 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6015,3505 By Matching Biggest Common Factor Method
Now, list down the factors of 6015
:1,3,5,15,401,1203,2005,6015
Now, list down the factors of 3505
:1,5,701,3505
Greatest Common Factor
We found the factors 6015,3505 . The biggest common factor number is the GCF number.
So the greatest common factor 6015,3505 is 5.
Lets's calculate LCM of 555,4919
Given numbers has no common factors except 1. So, there LCM is their product i.e 2730045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2730045
Therefore, the GCF of Fractions 6015/555,3505/4919 is 5/2730045
Least Common Multiple of 555,4919 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 555,4919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,4919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,4919) x common factors =1 x 1 = 1
LCM(555,4919) = ( 555 × 4919 ) / 1
LCM(555,4919) = 2730045 / 1
LCM(555,4919) = 2730045
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FAQs on GCF of Fractions of 6015/555, 3505/4919
1. What is the HCF of 6015,3505?
The HCF of 6015,3505 is 5
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 6015/555, 3505/4919?
Answer: GCF of Numerators as per given numbers 6015/555, 3505/4919 is
GCF of Numerators i.e. for 6015,3505 is 5
LCM of denominators i.e. for 555,4919 is 2730045.
Thus, GCF of Fractions is 5/2730045.Finally, GCF of Fractions for 6015/555, 3505/4919 is 5/2730045.