GCF of 4141/285, 6027/6835
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4141/285, 6027/6835 i.e 41/389595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4141/285, 6027/6835.
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 4141/285,6027/6835?
Given fractions are 4141/285,6027/6835
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 4141/285,6027/6835, numerators are 4141,6027
Denominators are 285,6835
The GCF of 4141,6027 is 41 .
LCM of 285,6835 is 389595.
The greatest common factor of 4141/285,6027/6835 = [GCF of 4141,6027]/[LCM of 285,6835]= 41/389595
Therefore, the GCF of 4141/285,6027/6835 is 41/389595.
To find the highest common factor of 4141,6027, we have to find the factors of both numbers and list the highest common factor.
The factors of 4141 are 1, 41, 101, 4141
The factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
The HCF of 4141,6027 is 41.
Lets's calculate GCF of 4141,6027
| 41 | 4141, 6027 |
| 101, 147 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 4141,6027 By Matching Biggest Common Factor Method
Now, list down the factors of 4141
:1,41,101,4141
Now, list down the factors of 6027
:1,3,7,21,41,49,123,147,287,861,2009,6027
Greatest Common Factor
We found the factors 4141,6027 . The biggest common factor number is the GCF number.
So the greatest common factor 4141,6027 is 41.
Lets's calculate LCM of 285,6835
| 5 | 285, 6835 |
| 57, 1367 |
∴ So the LCM of the given numbers is 5 x 57 x 1367 = 389595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/389595
Therefore, the GCF of Fractions 4141/285,6027/6835 is 41/389595
Least Common Multiple of 285,6835 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 285,6835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,6835) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(285,6835) x common factors =5 x 1 = 5
LCM(285,6835) = ( 285 × 6835 ) / 5
LCM(285,6835) = 1947975 / 5
LCM(285,6835) = 389595
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FAQs on GCF of Fractions of 4141/285, 6027/6835
1. What is the HCF of 4141,6027?
The HCF of 4141,6027 is 41
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 4141/285, 6027/6835?
Answer: GCF of Numerators as per given numbers 4141/285, 6027/6835 is
GCF of Numerators i.e. for 4141,6027 is 41
LCM of denominators i.e. for 285,6835 is 389595.
Thus, GCF of Fractions is 41/389595.Finally, GCF of Fractions for 4141/285, 6027/6835 is 41/389595.