GCF of 3091/503, 5841/301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3091/503, 5841/301 i.e 11/151403 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3091/503, 5841/301.
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 3091/503,5841/301?
Given fractions are 3091/503,5841/301
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 3091/503,5841/301, numerators are 3091,5841
Denominators are 503,301
The GCF of 3091,5841 is 11 .
LCM of 503,301 is 151403.
The greatest common factor of 3091/503,5841/301 = [GCF of 3091,5841]/[LCM of 503,301]= 11/151403
Therefore, the GCF of 3091/503,5841/301 is 11/151403.
To find the highest common factor of 3091,5841, we have to find the factors of both numbers and list the highest common factor.
The factors of 3091 are 1, 11, 281, 3091
The factors of 5841 are 1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841
The HCF of 3091,5841 is 11.
Lets's calculate GCF of 3091,5841
| 11 | 3091, 5841 |
| 281, 531 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3091,5841 By Matching Biggest Common Factor Method
Now, list down the factors of 3091
:1,11,281,3091
Now, list down the factors of 5841
:1,3,9,11,33,59,99,177,531,649,1947,5841
Greatest Common Factor
We found the factors 3091,5841 . The biggest common factor number is the GCF number.
So the greatest common factor 3091,5841 is 11.
Lets's calculate LCM of 503,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 151403
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/151403
Therefore, the GCF of Fractions 3091/503,5841/301 is 11/151403
Least Common Multiple of 503,301 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 503,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,301) x common factors =1 x 1 = 1
LCM(503,301) = ( 503 × 301 ) / 1
LCM(503,301) = 151403 / 1
LCM(503,301) = 151403
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FAQs on GCF of Fractions of 3091/503, 5841/301
1. What is the HCF of 3091,5841?
The HCF of 3091,5841 is 11
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 3091/503, 5841/301?
Answer: GCF of Numerators as per given numbers 3091/503, 5841/301 is
GCF of Numerators i.e. for 3091,5841 is 11
LCM of denominators i.e. for 503,301 is 151403.
Thus, GCF of Fractions is 11/151403.Finally, GCF of Fractions for 3091/503, 5841/301 is 11/151403.