GCF of 5913/185, 8001/4140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5913/185, 8001/4140 i.e 9/153180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5913/185, 8001/4140.
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 5913/185,8001/4140?
Given fractions are 5913/185,8001/4140
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 5913/185,8001/4140, numerators are 5913,8001
Denominators are 185,4140
The GCF of 5913,8001 is 9 .
LCM of 185,4140 is 153180.
The greatest common factor of 5913/185,8001/4140 = [GCF of 5913,8001]/[LCM of 185,4140]= 9/153180
Therefore, the GCF of 5913/185,8001/4140 is 9/153180.
To find the highest common factor of 5913,8001, we have to find the factors of both numbers and list the highest common factor.
The factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913
The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001
The HCF of 5913,8001 is 9.
Lets's calculate GCF of 5913,8001
| 3 | 5913, 8001 |
| 3 | 1971, 2667 |
| 657, 889 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5913,8001 By Matching Biggest Common Factor Method
Now, list down the factors of 5913
:1,3,9,27,73,81,219,657,1971,5913
Now, list down the factors of 8001
:1,3,7,9,21,63,127,381,889,1143,2667,8001
Greatest Common Factor
We found the factors 5913,8001 . The biggest common factor number is the GCF number.
So the greatest common factor 5913,8001 is 9.
Lets's calculate LCM of 185,4140
| 5 | 185, 4140 |
| 37, 828 |
∴ So the LCM of the given numbers is 5 x 37 x 828 = 153180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/153180
Therefore, the GCF of Fractions 5913/185,8001/4140 is 9/153180
Least Common Multiple of 185,4140 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 185,4140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,4140) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,4140) x common factors =5 x 1 = 5
LCM(185,4140) = ( 185 × 4140 ) / 5
LCM(185,4140) = 765900 / 5
LCM(185,4140) = 153180
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FAQs on GCF of Fractions of 5913/185, 8001/4140
1. What is the HCF of 5913,8001?
The HCF of 5913,8001 is 9
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 5913/185, 8001/4140?
Answer: GCF of Numerators as per given numbers 5913/185, 8001/4140 is
GCF of Numerators i.e. for 5913,8001 is 9
LCM of denominators i.e. for 185,4140 is 153180.
Thus, GCF of Fractions is 9/153180.Finally, GCF of Fractions for 5913/185, 8001/4140 is 9/153180.