GCF of 5271/991, 5082/4019
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5271/991, 5082/4019 i.e 21/3982829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5271/991, 5082/4019.
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 5271/991,5082/4019?
Given fractions are 5271/991,5082/4019
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 5271/991,5082/4019, numerators are 5271,5082
Denominators are 991,4019
The GCF of 5271,5082 is 21 .
LCM of 991,4019 is 3982829.
The greatest common factor of 5271/991,5082/4019 = [GCF of 5271,5082]/[LCM of 991,4019]= 21/3982829
Therefore, the GCF of 5271/991,5082/4019 is 21/3982829.
To find the highest common factor of 5271,5082, we have to find the factors of both numbers and list the highest common factor.
The factors of 5271 are 1, 3, 7, 21, 251, 753, 1757, 5271
The factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082
The HCF of 5271,5082 is 21.
Lets's calculate GCF of 5271,5082
| 3 | 5271, 5082 |
| 7 | 1757, 1694 |
| 251, 242 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 5271,5082 By Matching Biggest Common Factor Method
Now, list down the factors of 5271
:1,3,7,21,251,753,1757,5271
Now, list down the factors of 5082
:1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082
Greatest Common Factor
We found the factors 5271,5082 . The biggest common factor number is the GCF number.
So the greatest common factor 5271,5082 is 21.
Lets's calculate LCM of 991,4019
Given numbers has no common factors except 1. So, there LCM is their product i.e 3982829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/3982829
Therefore, the GCF of Fractions 5271/991,5082/4019 is 21/3982829
Least Common Multiple of 991,4019 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 991,4019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,4019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,4019) x common factors =1 x 1 = 1
LCM(991,4019) = ( 991 × 4019 ) / 1
LCM(991,4019) = 3982829 / 1
LCM(991,4019) = 3982829
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FAQs on GCF of Fractions of 5271/991, 5082/4019
1. What is the HCF of 5271,5082?
The HCF of 5271,5082 is 21
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 5271/991, 5082/4019?
Answer: GCF of Numerators as per given numbers 5271/991, 5082/4019 is
GCF of Numerators i.e. for 5271,5082 is 21
LCM of denominators i.e. for 991,4019 is 3982829.
Thus, GCF of Fractions is 21/3982829.Finally, GCF of Fractions for 5271/991, 5082/4019 is 21/3982829.