GCF of 5381/139, 4035/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5381/139, 4035/461 i.e 1/64079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5381/139, 4035/461.
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 5381/139,4035/461?
Given fractions are 5381/139,4035/461
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 5381/139,4035/461, numerators are 5381,4035
Denominators are 139,461
The GCF of 5381,4035 is 1 .
LCM of 139,461 is 64079.
The greatest common factor of 5381/139,4035/461 = [GCF of 5381,4035]/[LCM of 139,461]= 1/64079
Therefore, the GCF of 5381/139,4035/461 is 1/64079.
To find the highest common factor of 5381,4035, we have to find the factors of both numbers and list the highest common factor.
The factors of 5381 are 1, 5381
The factors of 4035 are 1, 3, 5, 15, 269, 807, 1345, 4035
The HCF of 5381,4035 is 1.
Lets's calculate GCF of 5381,4035
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5381,4035 By Matching Biggest Common Factor Method
Now, list down the factors of 5381
:1,5381
Now, list down the factors of 4035
:1,3,5,15,269,807,1345,4035
Greatest Common Factor
We found the factors 5381,4035 . The biggest common factor number is the GCF number.
So the greatest common factor 5381,4035 is 1.
Lets's calculate LCM of 139,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 64079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64079
Therefore, the GCF of Fractions 5381/139,4035/461 is 1/64079
Least Common Multiple of 139,461 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 139,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,461) x common factors =1 x 1 = 1
LCM(139,461) = ( 139 × 461 ) / 1
LCM(139,461) = 64079 / 1
LCM(139,461) = 64079
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FAQs on GCF of Fractions of 5381/139, 4035/461
1. What is the HCF of 5381,4035?
The HCF of 5381,4035 is 1
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 5381/139, 4035/461?
Answer: GCF of Numerators as per given numbers 5381/139, 4035/461 is
GCF of Numerators i.e. for 5381,4035 is 1
LCM of denominators i.e. for 139,461 is 64079.
Thus, GCF of Fractions is 1/64079.Finally, GCF of Fractions for 5381/139, 4035/461 is 1/64079.